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Finding the Fourth Proportional to 32,469.10, 48,703.12 and 10,282.44

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Solution

The fourth proportional to 32,469.10, 48,703.12 and 10,282.44 is: 15,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469.10 : 48,703.12 = 10,282.44 : x
  2. Step 2: Convert to fraction form
    32,469.10/48,703.12 = 10,282.44/x
  3. Step 3: Cross multiply
    32,469.10x = 48,703.12 × 10,282.44
  4. Step 4: Simplify right side
    32,469.10x = 500,787,123.98
  5. Step 5: Solve for x
    x = 500,787,123.98/32,469.10
  6. Step 6: Final answer
    x = 15,423.50

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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.