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Finding the Fourth Proportional to 71,003.68, 97,983.48 and 39,175.60

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Solution

The fourth proportional to 71,003.68, 97,983.48 and 39,175.60 is: 54,061.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,003.68 : 97,983.48 = 39,175.60 : x
  2. Step 2: Convert to fraction form
    71,003.68/97,983.48 = 39,175.60/x
  3. Step 3: Cross multiply
    71,003.68x = 97,983.48 × 39,175.60
  4. Step 4: Simplify right side
    71,003.68x = 3,838,561,619.09
  5. Step 5: Solve for x
    x = 3,838,561,619.09/71,003.68
  6. Step 6: Final answer
    x = 54,061.45

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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.