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Finding the Fourth Proportional to 76,660.14, 114,951.30 and 35,071.50

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Solution

The fourth proportional to 76,660.14, 114,951.30 and 35,071.50 is: 52,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,660.14 : 114,951.30 = 35,071.50 : x
  2. Step 2: Convert to fraction form
    76,660.14/114,951.30 = 35,071.50/x
  3. Step 3: Cross multiply
    76,660.14x = 114,951.30 × 35,071.50
  4. Step 4: Simplify right side
    76,660.14x = 4,031,514,517.95
  5. Step 5: Solve for x
    x = 4,031,514,517.95/76,660.14
  6. Step 6: Final answer
    x = 52,589.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.