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Finding the Fourth Proportional to 84,616.32, 126,942.32 and 32,024.64

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Solution

The fourth proportional to 84,616.32, 126,942.32 and 32,024.64 is: 48,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,616.32 : 126,942.32 = 32,024.64 : x
  2. Step 2: Convert to fraction form
    84,616.32/126,942.32 = 32,024.64/x
  3. Step 3: Cross multiply
    84,616.32x = 126,942.32 × 32,024.64
  4. Step 4: Simplify right side
    84,616.32x = 4,065,282,098.76
  5. Step 5: Solve for x
    x = 4,065,282,098.76/84,616.32
  6. Step 6: Final answer
    x = 48,043.71

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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.