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Finding the Fourth Proportional to 83,498.72, 125,235.92 and 24,318.50

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Solution

The fourth proportional to 83,498.72, 125,235.92 and 24,318.50 is: 36,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,498.72 : 125,235.92 = 24,318.50 : x
  2. Step 2: Convert to fraction form
    83,498.72/125,235.92 = 24,318.50/x
  3. Step 3: Cross multiply
    83,498.72x = 125,235.92 × 24,318.50
  4. Step 4: Simplify right side
    83,498.72x = 3,045,549,720.52
  5. Step 5: Solve for x
    x = 3,045,549,720.52/83,498.72
  6. Step 6: Final answer
    x = 36,474.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.