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Finding the Fourth Proportional to 71,772,214.80, 107,683,205.40 and 31,411,664.40

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Solution

The fourth proportional to 71,772,214.80, 107,683,205.40 and 31,411,664.40 is: 47,128,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,772,214.80 : 107,683,205.40 = 31,411,664.40 : x
  2. Step 2: Convert to fraction form
    71,772,214.80/107,683,205.40 = 31,411,664.40/x
  3. Step 3: Cross multiply
    71,772,214.80x = 107,683,205.40 × 31,411,664.40
  4. Step 4: Simplify right side
    71,772,214.80x = 3,382,508,709,541,068
  5. Step 5: Solve for x
    x = 3,382,508,709,541,068/71,772,214.80
  6. Step 6: Final answer
    x = 47,128,386.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.