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Finding the Fourth Proportional to 51,951.60, 77,938.96 and 24,234.48

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Solution

The fourth proportional to 51,951.60, 77,938.96 and 24,234.48 is: 36,357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,951.60 : 77,938.96 = 24,234.48 : x
  2. Step 2: Convert to fraction form
    51,951.60/77,938.96 = 24,234.48/x
  3. Step 3: Cross multiply
    51,951.60x = 77,938.96 × 24,234.48
  4. Step 4: Simplify right side
    51,951.60x = 1,888,810,167.34
  5. Step 5: Solve for x
    x = 1,888,810,167.34/51,951.60
  6. Step 6: Final answer
    x = 36,357.11

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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.