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Finding the Fourth Proportional to 32,204.35, 48,314.76 and 10,017.92

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Solution

The fourth proportional to 32,204.35, 48,314.76 and 10,017.92 is: 15,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,204.35 : 48,314.76 = 10,017.92 : x
  2. Step 2: Convert to fraction form
    32,204.35/48,314.76 = 10,017.92/x
  3. Step 3: Cross multiply
    32,204.35x = 48,314.76 × 10,017.92
  4. Step 4: Simplify right side
    32,204.35x = 484,013,400.50
  5. Step 5: Solve for x
    x = 484,013,400.50/32,204.35
  6. Step 6: Final answer
    x = 15,029.44

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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.