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Finding the Fourth Proportional to 64,996.71, 97,531.11 and 31,717.05

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Solution

The fourth proportional to 64,996.71, 97,531.11 and 31,717.05 is: 47,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,996.71 : 97,531.11 = 31,717.05 : x
  2. Step 2: Convert to fraction form
    64,996.71/97,531.11 = 31,717.05/x
  3. Step 3: Cross multiply
    64,996.71x = 97,531.11 × 31,717.05
  4. Step 4: Simplify right side
    64,996.71x = 3,093,399,092.43
  5. Step 5: Solve for x
    x = 3,093,399,092.43/64,996.71
  6. Step 6: Final answer
    x = 47,593.16

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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.