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Finding the Fourth Proportional to 57,112.16, 78,813.52 and 31,617.04

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Solution

The fourth proportional to 57,112.16, 78,813.52 and 31,617.04 is: 43,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,112.16 : 78,813.52 = 31,617.04 : x
  2. Step 2: Convert to fraction form
    57,112.16/78,813.52 = 31,617.04/x
  3. Step 3: Cross multiply
    57,112.16x = 78,813.52 × 31,617.04
  4. Step 4: Simplify right side
    57,112.16x = 2,491,850,214.38
  5. Step 5: Solve for x
    x = 2,491,850,214.38/57,112.16
  6. Step 6: Final answer
    x = 43,630.82

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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.