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Finding the Fourth Proportional to 83,654.10, 125,311.05 and 51,966.90

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Solution

The fourth proportional to 83,654.10, 125,311.05 and 51,966.90 is: 77,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,654.10 : 125,311.05 = 51,966.90 : x
  2. Step 2: Convert to fraction form
    83,654.10/125,311.05 = 51,966.90/x
  3. Step 3: Cross multiply
    83,654.10x = 125,311.05 × 51,966.90
  4. Step 4: Simplify right side
    83,654.10x = 6,512,026,804.25
  5. Step 5: Solve for x
    x = 6,512,026,804.25/83,654.10
  6. Step 6: Final answer
    x = 77,844.68

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1.5x scale

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.