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Finding the Fourth Proportional to 76,354.14, 114,437.06 and 55,366.24

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Solution

The fourth proportional to 76,354.14, 114,437.06 and 55,366.24 is: 82,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,354.14 : 114,437.06 = 55,366.24 : x
  2. Step 2: Convert to fraction form
    76,354.14/114,437.06 = 55,366.24/x
  3. Step 3: Cross multiply
    76,354.14x = 114,437.06 × 55,366.24
  4. Step 4: Simplify right side
    76,354.14x = 6,335,949,728.85
  5. Step 5: Solve for x
    x = 6,335,949,728.85/76,354.14
  6. Step 6: Final answer
    x = 82,981.09

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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.