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Finding the Fourth Proportional to 32,898.44, 49,348.32 and 10,711.76

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Solution

The fourth proportional to 32,898.44, 49,348.32 and 10,711.76 is: 16,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,898.44 : 49,348.32 = 10,711.76 : x
  2. Step 2: Convert to fraction form
    32,898.44/49,348.32 = 10,711.76/x
  3. Step 3: Cross multiply
    32,898.44x = 49,348.32 × 10,711.76
  4. Step 4: Simplify right side
    32,898.44x = 528,607,360.24
  5. Step 5: Solve for x
    x = 528,607,360.24/32,898.44
  6. Step 6: Final answer
    x = 16,067.85

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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.