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Finding the Fourth Proportional to 83,597.70, 125,431.73 and 52,034.16

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Solution

The fourth proportional to 83,597.70, 125,431.73 and 52,034.16 is: 78,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,597.70 : 125,431.73 = 52,034.16 : x
  2. Step 2: Convert to fraction form
    83,597.70/125,431.73 = 52,034.16/x
  3. Step 3: Cross multiply
    83,597.70x = 125,431.73 × 52,034.16
  4. Step 4: Simplify right side
    83,597.70x = 6,526,734,707.90
  5. Step 5: Solve for x
    x = 6,526,734,707.90/83,597.70
  6. Step 6: Final answer
    x = 78,073.14

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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.