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Finding the Fourth Proportional to 71,657.51, 107,487.32 and 27,286.74

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Solution

The fourth proportional to 71,657.51, 107,487.32 and 27,286.74 is: 40,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,657.51 : 107,487.32 = 27,286.74 : x
  2. Step 2: Convert to fraction form
    71,657.51/107,487.32 = 27,286.74/x
  3. Step 3: Cross multiply
    71,657.51x = 107,487.32 × 27,286.74
  4. Step 4: Simplify right side
    71,657.51x = 2,932,978,417.70
  5. Step 5: Solve for x
    x = 2,932,978,417.70/71,657.51
  6. Step 6: Final answer
    x = 40,930.51

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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.