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Finding the Fourth Proportional to 82,657.80, 114,064.61 and 44,932.05

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Solution

The fourth proportional to 82,657.80, 114,064.61 and 44,932.05 is: 62,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,657.80 : 114,064.61 = 44,932.05 : x
  2. Step 2: Convert to fraction form
    82,657.80/114,064.61 = 44,932.05/x
  3. Step 3: Cross multiply
    82,657.80x = 114,064.61 × 44,932.05
  4. Step 4: Simplify right side
    82,657.80x = 5,125,156,535.09
  5. Step 5: Solve for x
    x = 5,125,156,535.09/82,657.80
  6. Step 6: Final answer
    x = 62,004.51

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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.