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Finding the Fourth Proportional to 57,013.38, 78,671.64 and 31,516.32

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Solution

The fourth proportional to 57,013.38, 78,671.64 and 31,516.32 is: 43,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,013.38 : 78,671.64 = 31,516.32 : x
  2. Step 2: Convert to fraction form
    57,013.38/78,671.64 = 31,516.32/x
  3. Step 3: Cross multiply
    57,013.38x = 78,671.64 × 31,516.32
  4. Step 4: Simplify right side
    57,013.38x = 2,479,440,581.16
  5. Step 5: Solve for x
    x = 2,479,440,581.16/57,013.38
  6. Step 6: Final answer
    x = 43,488.75

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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.