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Finding the Fourth Proportional to 83,497.72, 125,234.42 and 24,317.50

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Solution

The fourth proportional to 83,497.72, 125,234.42 and 24,317.50 is: 36,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,497.72 : 125,234.42 = 24,317.50 : x
  2. Step 2: Convert to fraction form
    83,497.72/125,234.42 = 24,317.50/x
  3. Step 3: Cross multiply
    83,497.72x = 125,234.42 × 24,317.50
  4. Step 4: Simplify right side
    83,497.72x = 3,045,388,008.35
  5. Step 5: Solve for x
    x = 3,045,388,008.35/83,497.72
  6. Step 6: Final answer
    x = 36,472.71

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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.