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Finding the Fourth Proportional to 83,572.86, 125,368.05 and 24,408.69

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Solution

The fourth proportional to 83,572.86, 125,368.05 and 24,408.69 is: 36,615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,572.86 : 125,368.05 = 24,408.69 : x
  2. Step 2: Convert to fraction form
    83,572.86/125,368.05 = 24,408.69/x
  3. Step 3: Cross multiply
    83,572.86x = 125,368.05 × 24,408.69
  4. Step 4: Simplify right side
    83,572.86x = 3,060,069,868.35
  5. Step 5: Solve for x
    x = 3,060,069,868.35/83,572.86
  6. Step 6: Final answer
    x = 36,615.59

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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.