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Finding the Fourth Proportional to 82,294.91, 113,565.62 and 45,997.20

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Solution

The fourth proportional to 82,294.91, 113,565.62 and 45,997.20 is: 63,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,294.91 : 113,565.62 = 45,997.20 : x
  2. Step 2: Convert to fraction form
    82,294.91/113,565.62 = 45,997.20/x
  3. Step 3: Cross multiply
    82,294.91x = 113,565.62 × 45,997.20
  4. Step 4: Simplify right side
    82,294.91x = 5,223,700,478.77
  5. Step 5: Solve for x
    x = 5,223,700,478.77/82,294.91
  6. Step 6: Final answer
    x = 63,475.38

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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.