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Finding the Fourth Proportional to 37,876.68, 56,778.75 and 14,177.79

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Solution

The fourth proportional to 37,876.68, 56,778.75 and 14,177.79 is: 21,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,876.68 : 56,778.75 = 14,177.79 : x
  2. Step 2: Convert to fraction form
    37,876.68/56,778.75 = 14,177.79/x
  3. Step 3: Cross multiply
    37,876.68x = 56,778.75 × 14,177.79
  4. Step 4: Simplify right side
    37,876.68x = 804,997,193.96
  5. Step 5: Solve for x
    x = 804,997,193.96/37,876.68
  6. Step 6: Final answer
    x = 21,253.11

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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.