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Finding the Fourth Proportional to 57,154.67, 78,874.71 and 32,624.98

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Solution

The fourth proportional to 57,154.67, 78,874.71 and 32,624.98 is: 45,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,154.67 : 78,874.71 = 32,624.98 : x
  2. Step 2: Convert to fraction form
    57,154.67/78,874.71 = 32,624.98/x
  3. Step 3: Cross multiply
    57,154.67x = 78,874.71 × 32,624.98
  4. Step 4: Simplify right side
    57,154.67x = 2,573,285,836.26
  5. Step 5: Solve for x
    x = 2,573,285,836.26/57,154.67
  6. Step 6: Final answer
    x = 45,023.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.