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Finding the Fourth Proportional to 97,061.28, 133,944.14 and 54,620.52

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Solution

The fourth proportional to 97,061.28, 133,944.14 and 54,620.52 is: 75,376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,061.28 : 133,944.14 = 54,620.52 : x
  2. Step 2: Convert to fraction form
    97,061.28/133,944.14 = 54,620.52/x
  3. Step 3: Cross multiply
    97,061.28x = 133,944.14 × 54,620.52
  4. Step 4: Simplify right side
    97,061.28x = 7,316,098,577.75
  5. Step 5: Solve for x
    x = 7,316,098,577.75/97,061.28
  6. Step 6: Final answer
    x = 75,376.08

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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.