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Finding the Fourth Proportional to 97,418.64, 134,437.92 and 54,397.92

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Solution

The fourth proportional to 97,418.64, 134,437.92 and 54,397.92 is: 75,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,418.64 : 134,437.92 = 54,397.92 : x
  2. Step 2: Convert to fraction form
    97,418.64/134,437.92 = 54,397.92/x
  3. Step 3: Cross multiply
    97,418.64x = 134,437.92 × 54,397.92
  4. Step 4: Simplify right side
    97,418.64x = 7,313,143,217.13
  5. Step 5: Solve for x
    x = 7,313,143,217.13/97,418.64
  6. Step 6: Final answer
    x = 75,069.24

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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.