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Finding the Fourth Proportional to 72,358.96, 99,854.49 and 42,149.20

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Solution

The fourth proportional to 72,358.96, 99,854.49 and 42,149.20 is: 58,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,358.96 : 99,854.49 = 42,149.20 : x
  2. Step 2: Convert to fraction form
    72,358.96/99,854.49 = 42,149.20/x
  3. Step 3: Cross multiply
    72,358.96x = 99,854.49 × 42,149.20
  4. Step 4: Simplify right side
    72,358.96x = 4,208,786,869.91
  5. Step 5: Solve for x
    x = 4,208,786,869.91/72,358.96
  6. Step 6: Final answer
    x = 58,165.39

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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.