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Finding the Fourth Proportional to 57,007.50, 85,400.52 and 27,446.10

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Solution

The fourth proportional to 57,007.50, 85,400.52 and 27,446.10 is: 41,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,007.50 : 85,400.52 = 27,446.10 : x
  2. Step 2: Convert to fraction form
    57,007.50/85,400.52 = 27,446.10/x
  3. Step 3: Cross multiply
    57,007.50x = 85,400.52 × 27,446.10
  4. Step 4: Simplify right side
    57,007.50x = 2,343,911,211.97
  5. Step 5: Solve for x
    x = 2,343,911,211.97/57,007.50
  6. Step 6: Final answer
    x = 41,115.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.