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Finding the Fourth Proportional to 83,840.70, 125,773.56 and 27,686.76

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Solution

The fourth proportional to 83,840.70, 125,773.56 and 27,686.76 is: 41,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,840.70 : 125,773.56 = 27,686.76 : x
  2. Step 2: Convert to fraction form
    83,840.70/125,773.56 = 27,686.76/x
  3. Step 3: Cross multiply
    83,840.70x = 125,773.56 × 27,686.76
  4. Step 4: Simplify right side
    83,840.70x = 3,482,262,370.07
  5. Step 5: Solve for x
    x = 3,482,262,370.07/83,840.70
  6. Step 6: Final answer
    x = 41,534.27

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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.