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Finding the Fourth Proportional to 32,119.46, 48,167.22 and 11,053.61

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Solution

The fourth proportional to 32,119.46, 48,167.22 and 11,053.61 is: 16,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,119.46 : 48,167.22 = 11,053.61 : x
  2. Step 2: Convert to fraction form
    32,119.46/48,167.22 = 11,053.61/x
  3. Step 3: Cross multiply
    32,119.46x = 48,167.22 × 11,053.61
  4. Step 4: Simplify right side
    32,119.46x = 532,421,664.66
  5. Step 5: Solve for x
    x = 532,421,664.66/32,119.46
  6. Step 6: Final answer
    x = 16,576.30

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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.