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Finding the Fourth Proportional to 32,005.46, 48,013.88 and 10,947.84

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Solution

The fourth proportional to 32,005.46, 48,013.88 and 10,947.84 is: 16,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.46 : 48,013.88 = 10,947.84 : x
  2. Step 2: Convert to fraction form
    32,005.46/48,013.88 = 10,947.84/x
  3. Step 3: Cross multiply
    32,005.46x = 48,013.88 × 10,947.84
  4. Step 4: Simplify right side
    32,005.46x = 525,648,276.02
  5. Step 5: Solve for x
    x = 525,648,276.02/32,005.46
  6. Step 6: Final answer
    x = 16,423.71

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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.