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Finding the Fourth Proportional to 57,126, 78,833.88 and 31,975.68

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Solution

The fourth proportional to 57,126, 78,833.88 and 31,975.68 is: 44,126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,126 : 78,833.88 = 31,975.68 : x
  2. Step 2: Convert to fraction form
    57,126/78,833.88 = 31,975.68/x
  3. Step 3: Cross multiply
    57,126x = 78,833.88 × 31,975.68
  4. Step 4: Simplify right side
    57,126x = 2,520,766,920.04
  5. Step 5: Solve for x
    x = 2,520,766,920.04/57,126
  6. Step 6: Final answer
    x = 44,126.44

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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.