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Finding the Fourth Proportional to 65,226.87, 97,842.86 and 20,252.90

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Solution

The fourth proportional to 65,226.87, 97,842.86 and 20,252.90 is: 30,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,226.87 : 97,842.86 = 20,252.90 : x
  2. Step 2: Convert to fraction form
    65,226.87/97,842.86 = 20,252.90/x
  3. Step 3: Cross multiply
    65,226.87x = 97,842.86 × 20,252.90
  4. Step 4: Simplify right side
    65,226.87x = 1,981,601,068.82
  5. Step 5: Solve for x
    x = 1,981,601,068.82/65,226.87
  6. Step 6: Final answer
    x = 30,380.13

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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.