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Finding the Fourth Proportional to 82,774.62, 114,229.44 and 45,048.96

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Solution

The fourth proportional to 82,774.62, 114,229.44 and 45,048.96 is: 62,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,774.62 : 114,229.44 = 45,048.96 : x
  2. Step 2: Convert to fraction form
    82,774.62/114,229.44 = 45,048.96/x
  3. Step 3: Cross multiply
    82,774.62x = 114,229.44 × 45,048.96
  4. Step 4: Simplify right side
    82,774.62x = 5,145,917,473.38
  5. Step 5: Solve for x
    x = 5,145,917,473.38/82,774.62
  6. Step 6: Final answer
    x = 62,167.82

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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.