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Finding the Fourth Proportional to 82,691.08, 114,113.41 and 44,965.33

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Solution

The fourth proportional to 82,691.08, 114,113.41 and 44,965.33 is: 62,052.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,691.08 : 114,113.41 = 44,965.33 : x
  2. Step 2: Convert to fraction form
    82,691.08/114,113.41 = 44,965.33/x
  3. Step 3: Cross multiply
    82,691.08x = 114,113.41 × 44,965.33
  4. Step 4: Simplify right side
    82,691.08x = 5,131,146,740.38
  5. Step 5: Solve for x
    x = 5,131,146,740.38/82,691.08
  6. Step 6: Final answer
    x = 62,052.00

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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.