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Finding the Fourth Proportional to 32,864.52, 49,289.10 and 10,672.20

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Solution

The fourth proportional to 32,864.52, 49,289.10 and 10,672.20 is: 16,005.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,864.52 : 49,289.10 = 10,672.20 : x
  2. Step 2: Convert to fraction form
    32,864.52/49,289.10 = 10,672.20/x
  3. Step 3: Cross multiply
    32,864.52x = 49,289.10 × 10,672.20
  4. Step 4: Simplify right side
    32,864.52x = 526,023,133.02
  5. Step 5: Solve for x
    x = 526,023,133.02/32,864.52
  6. Step 6: Final answer
    x = 16,005.81

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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.