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Finding the Fourth Proportional to 57,042, 78,714.72 and 31,546.84

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Solution

The fourth proportional to 57,042, 78,714.72 and 31,546.84 is: 43,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,042 : 78,714.72 = 31,546.84 : x
  2. Step 2: Convert to fraction form
    57,042/78,714.72 = 31,546.84/x
  3. Step 3: Cross multiply
    57,042x = 78,714.72 × 31,546.84
  4. Step 4: Simplify right side
    57,042x = 2,483,200,677.48
  5. Step 5: Solve for x
    x = 2,483,200,677.48/57,042
  6. Step 6: Final answer
    x = 43,532.85

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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.