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Finding the Fourth Proportional to 57,102.48, 78,801.52 and 31,952

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Solution

The fourth proportional to 57,102.48, 78,801.52 and 31,952 is: 44,093.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102.48 : 78,801.52 = 31,952 : x
  2. Step 2: Convert to fraction form
    57,102.48/78,801.52 = 31,952/x
  3. Step 3: Cross multiply
    57,102.48x = 78,801.52 × 31,952
  4. Step 4: Simplify right side
    57,102.48x = 2,517,866,167.04
  5. Step 5: Solve for x
    x = 2,517,866,167.04/57,102.48
  6. Step 6: Final answer
    x = 44,093.81

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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.