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Finding the Fourth Proportional to 57,200.32, 78,932.46 and 31,706.44

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Solution

The fourth proportional to 57,200.32, 78,932.46 and 31,706.44 is: 43,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,200.32 : 78,932.46 = 31,706.44 : x
  2. Step 2: Convert to fraction form
    57,200.32/78,932.46 = 31,706.44/x
  3. Step 3: Cross multiply
    57,200.32x = 78,932.46 × 31,706.44
  4. Step 4: Simplify right side
    57,200.32x = 2,502,667,307.04
  5. Step 5: Solve for x
    x = 2,502,667,307.04/57,200.32
  6. Step 6: Final answer
    x = 43,752.68

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