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Finding the Fourth Proportional to 92,282.60, 138,423.90 and 52,843.70

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Solution

The fourth proportional to 92,282.60, 138,423.90 and 52,843.70 is: 79,265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,282.60 : 138,423.90 = 52,843.70 : x
  2. Step 2: Convert to fraction form
    92,282.60/138,423.90 = 52,843.70/x
  3. Step 3: Cross multiply
    92,282.60x = 138,423.90 × 52,843.70
  4. Step 4: Simplify right side
    92,282.60x = 7,314,831,044.43
  5. Step 5: Solve for x
    x = 7,314,831,044.43/92,282.60
  6. Step 6: Final answer
    x = 79,265.55

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Why These Related Problems?

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