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Finding the Fourth Proportional to 57,663.54, 86,498.97 and 24,377.40

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Solution

The fourth proportional to 57,663.54, 86,498.97 and 24,377.40 is: 36,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,663.54 : 86,498.97 = 24,377.40 : x
  2. Step 2: Convert to fraction form
    57,663.54/86,498.97 = 24,377.40/x
  3. Step 3: Cross multiply
    57,663.54x = 86,498.97 × 24,377.40
  4. Step 4: Simplify right side
    57,663.54x = 2,108,619,991.28
  5. Step 5: Solve for x
    x = 2,108,619,991.28/57,663.54
  6. Step 6: Final answer
    x = 36,567.65

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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.