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Finding the Fourth Proportional to 97,591.68, 146,447.68 and 38,417.28

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Solution

The fourth proportional to 97,591.68, 146,447.68 and 38,417.28 is: 57,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,591.68 : 146,447.68 = 38,417.28 : x
  2. Step 2: Convert to fraction form
    97,591.68/146,447.68 = 38,417.28/x
  3. Step 3: Cross multiply
    97,591.68x = 146,447.68 × 38,417.28
  4. Step 4: Simplify right side
    97,591.68x = 5,626,121,527.91
  5. Step 5: Solve for x
    x = 5,626,121,527.91/97,591.68
  6. Step 6: Final answer
    x = 57,649.60

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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.