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Finding the Fourth Proportional to 75,288.44, 112,932.66 and 71,705

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Solution

The fourth proportional to 75,288.44, 112,932.66 and 71,705 is: 107,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,288.44 : 112,932.66 = 71,705 : x
  2. Step 2: Convert to fraction form
    75,288.44/112,932.66 = 71,705/x
  3. Step 3: Cross multiply
    75,288.44x = 112,932.66 × 71,705
  4. Step 4: Simplify right side
    75,288.44x = 8,097,836,385.30
  5. Step 5: Solve for x
    x = 8,097,836,385.30/75,288.44
  6. Step 6: Final answer
    x = 107,557.50

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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.