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Finding the Fourth Proportional to 51,372.83, 77,006.50 and 24,678.78

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Solution

The fourth proportional to 51,372.83, 77,006.50 and 24,678.78 is: 36,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,372.83 : 77,006.50 = 24,678.78 : x
  2. Step 2: Convert to fraction form
    51,372.83/77,006.50 = 24,678.78/x
  3. Step 3: Cross multiply
    51,372.83x = 77,006.50 × 24,678.78
  4. Step 4: Simplify right side
    51,372.83x = 1,900,426,121.60
  5. Step 5: Solve for x
    x = 1,900,426,121.60/51,372.83
  6. Step 6: Final answer
    x = 36,992.82

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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.