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Finding the Fourth Proportional to 73,543.78, 101,487.40 and 41,712

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Solution

The fourth proportional to 73,543.78, 101,487.40 and 41,712 is: 57,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,543.78 : 101,487.40 = 41,712 : x
  2. Step 2: Convert to fraction form
    73,543.78/101,487.40 = 41,712/x
  3. Step 3: Cross multiply
    73,543.78x = 101,487.40 × 41,712
  4. Step 4: Simplify right side
    73,543.78x = 4,233,242,428.80
  5. Step 5: Solve for x
    x = 4,233,242,428.80/73,543.78
  6. Step 6: Final answer
    x = 57,560.85

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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.