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Finding the Fourth Proportional to 83,408.52, 125,125.08 and 24,236.52

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Solution

The fourth proportional to 83,408.52, 125,125.08 and 24,236.52 is: 36,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,408.52 : 125,125.08 = 24,236.52 : x
  2. Step 2: Convert to fraction form
    83,408.52/125,125.08 = 24,236.52/x
  3. Step 3: Cross multiply
    83,408.52x = 125,125.08 × 24,236.52
  4. Step 4: Simplify right side
    83,408.52x = 3,032,596,503.92
  5. Step 5: Solve for x
    x = 3,032,596,503.92/83,408.52
  6. Step 6: Final answer
    x = 36,358.35

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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.