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Finding the Fourth Proportional to 83,748, 125,679.60 and 34,500

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Solution

The fourth proportional to 83,748, 125,679.60 and 34,500 is: 51,773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,748 : 125,679.60 = 34,500 : x
  2. Step 2: Convert to fraction form
    83,748/125,679.60 = 34,500/x
  3. Step 3: Cross multiply
    83,748x = 125,679.60 × 34,500
  4. Step 4: Simplify right side
    83,748x = 4,335,946,200
  5. Step 5: Solve for x
    x = 4,335,946,200/83,748
  6. Step 6: Final answer
    x = 51,773.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.