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Finding the Fourth Proportional to 32,671.33, 49,004.08 and 10,478.68

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Solution

The fourth proportional to 32,671.33, 49,004.08 and 10,478.68 is: 15,717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,671.33 : 49,004.08 = 10,478.68 : x
  2. Step 2: Convert to fraction form
    32,671.33/49,004.08 = 10,478.68/x
  3. Step 3: Cross multiply
    32,671.33x = 49,004.08 × 10,478.68
  4. Step 4: Simplify right side
    32,671.33x = 513,498,073.01
  5. Step 5: Solve for x
    x = 513,498,073.01/32,671.33
  6. Step 6: Final answer
    x = 15,717.09

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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.