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Finding the Fourth Proportional to 32,552.98, 48,836.74 and 13,833.61

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Solution

The fourth proportional to 32,552.98, 48,836.74 and 13,833.61 is: 20,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,552.98 : 48,836.74 = 13,833.61 : x
  2. Step 2: Convert to fraction form
    32,552.98/48,836.74 = 13,833.61/x
  3. Step 3: Cross multiply
    32,552.98x = 48,836.74 × 13,833.61
  4. Step 4: Simplify right side
    32,552.98x = 675,588,414.83
  5. Step 5: Solve for x
    x = 675,588,414.83/32,552.98
  6. Step 6: Final answer
    x = 20,753.50

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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.