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Finding the Fourth Proportional to 71,772,254.80, 107,683,265.40 and 31,411,704.40

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Solution

The fourth proportional to 71,772,254.80, 107,683,265.40 and 31,411,704.40 is: 47,128,446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,772,254.80 : 107,683,265.40 = 31,411,704.40 : x
  2. Step 2: Convert to fraction form
    71,772,254.80/107,683,265.40 = 31,411,704.40/x
  3. Step 3: Cross multiply
    71,772,254.80x = 107,683,265.40 × 31,411,704.40
  4. Step 4: Simplify right side
    71,772,254.80x = 3,382,514,901,571,548
  5. Step 5: Solve for x
    x = 3,382,514,901,571,548/71,772,254.80
  6. Step 6: Final answer
    x = 47,128,446.93

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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.