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Finding the Fourth Proportional to 84,123.60, 126,165.92 and 24,945

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Solution

The fourth proportional to 84,123.60, 126,165.92 and 24,945 is: 37,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,123.60 : 126,165.92 = 24,945 : x
  2. Step 2: Convert to fraction form
    84,123.60/126,165.92 = 24,945/x
  3. Step 3: Cross multiply
    84,123.60x = 126,165.92 × 24,945
  4. Step 4: Simplify right side
    84,123.60x = 3,147,208,874.40
  5. Step 5: Solve for x
    x = 3,147,208,874.40/84,123.60
  6. Step 6: Final answer
    x = 37,411.72

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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.