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Finding the Fourth Proportional to 55,597, 76,724.10 and 30,446.92

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Solution

The fourth proportional to 55,597, 76,724.10 and 30,446.92 is: 42,016.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,597 : 76,724.10 = 30,446.92 : x
  2. Step 2: Convert to fraction form
    55,597/76,724.10 = 30,446.92/x
  3. Step 3: Cross multiply
    55,597x = 76,724.10 × 30,446.92
  4. Step 4: Simplify right side
    55,597x = 2,336,012,534.77
  5. Step 5: Solve for x
    x = 2,336,012,534.77/55,597
  6. Step 6: Final answer
    x = 42,016.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.