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Finding the Fourth Proportional to 32,951.10, 49,459.05 and 16,329.90

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Solution

The fourth proportional to 32,951.10, 49,459.05 and 16,329.90 is: 24,510.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,951.10 : 49,459.05 = 16,329.90 : x
  2. Step 2: Convert to fraction form
    32,951.10/49,459.05 = 16,329.90/x
  3. Step 3: Cross multiply
    32,951.10x = 49,459.05 × 16,329.90
  4. Step 4: Simplify right side
    32,951.10x = 807,661,340.60
  5. Step 5: Solve for x
    x = 807,661,340.60/32,951.10
  6. Step 6: Final answer
    x = 24,510.91

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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.