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Finding the Fourth Proportional to 71,402.31, 98,531.64 and 39,570.93

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Solution

The fourth proportional to 71,402.31, 98,531.64 and 39,570.93 is: 54,605.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,402.31 : 98,531.64 = 39,570.93 : x
  2. Step 2: Convert to fraction form
    71,402.31/98,531.64 = 39,570.93/x
  3. Step 3: Cross multiply
    71,402.31x = 98,531.64 × 39,570.93
  4. Step 4: Simplify right side
    71,402.31x = 3,898,988,629.23
  5. Step 5: Solve for x
    x = 3,898,988,629.23/71,402.31
  6. Step 6: Final answer
    x = 54,605.92

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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.