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Finding the Fourth Proportional to 96,014.40, 132,464.88 and 59,713.44

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Solution

The fourth proportional to 96,014.40, 132,464.88 and 59,713.44 is: 82,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,014.40 : 132,464.88 = 59,713.44 : x
  2. Step 2: Convert to fraction form
    96,014.40/132,464.88 = 59,713.44/x
  3. Step 3: Cross multiply
    96,014.40x = 132,464.88 × 59,713.44
  4. Step 4: Simplify right side
    96,014.40x = 7,909,933,663.99
  5. Step 5: Solve for x
    x = 7,909,933,663.99/96,014.40
  6. Step 6: Final answer
    x = 82,382.78

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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.