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Finding the Fourth Proportional to 71,045.17, 98,041.80 and 39,214.06

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Solution

The fourth proportional to 71,045.17, 98,041.80 and 39,214.06 is: 54,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,045.17 : 98,041.80 = 39,214.06 : x
  2. Step 2: Convert to fraction form
    71,045.17/98,041.80 = 39,214.06/x
  3. Step 3: Cross multiply
    71,045.17x = 98,041.80 × 39,214.06
  4. Step 4: Simplify right side
    71,045.17x = 3,844,617,297.31
  5. Step 5: Solve for x
    x = 3,844,617,297.31/71,045.17
  6. Step 6: Final answer
    x = 54,115.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.