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Finding the Fourth Proportional to 75,182.91, 112,739.05 and 43,601.95

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Solution

The fourth proportional to 75,182.91, 112,739.05 and 43,601.95 is: 65,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,182.91 : 112,739.05 = 43,601.95 : x
  2. Step 2: Convert to fraction form
    75,182.91/112,739.05 = 43,601.95/x
  3. Step 3: Cross multiply
    75,182.91x = 112,739.05 × 43,601.95
  4. Step 4: Simplify right side
    75,182.91x = 4,915,642,421.15
  5. Step 5: Solve for x
    x = 4,915,642,421.15/75,182.91
  6. Step 6: Final answer
    x = 65,382.44

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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.