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Finding the Fourth Proportional to 32,510.84, 48,766.16 and 12,251.36

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Solution

The fourth proportional to 32,510.84, 48,766.16 and 12,251.36 is: 18,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,510.84 : 48,766.16 = 12,251.36 : x
  2. Step 2: Convert to fraction form
    32,510.84/48,766.16 = 12,251.36/x
  3. Step 3: Cross multiply
    32,510.84x = 48,766.16 × 12,251.36
  4. Step 4: Simplify right side
    32,510.84x = 597,451,781.98
  5. Step 5: Solve for x
    x = 597,451,781.98/32,510.84
  6. Step 6: Final answer
    x = 18,377.00

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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.