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Finding the Fourth Proportional to 51,951.38, 77,927.10 and 12,508.49

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Solution

The fourth proportional to 51,951.38, 77,927.10 and 12,508.49 is: 18,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,951.38 : 77,927.10 = 12,508.49 : x
  2. Step 2: Convert to fraction form
    51,951.38/77,927.10 = 12,508.49/x
  3. Step 3: Cross multiply
    51,951.38x = 77,927.10 × 12,508.49
  4. Step 4: Simplify right side
    51,951.38x = 974,750,351.08
  5. Step 5: Solve for x
    x = 974,750,351.08/51,951.38
  6. Step 6: Final answer
    x = 18,762.74

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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.