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Finding the Fourth Proportional to 32,238.70, 48,350.70 and 12,244.04

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Solution

The fourth proportional to 32,238.70, 48,350.70 and 12,244.04 is: 18,363.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,238.70 : 48,350.70 = 12,244.04 : x
  2. Step 2: Convert to fraction form
    32,238.70/48,350.70 = 12,244.04/x
  3. Step 3: Cross multiply
    32,238.70x = 48,350.70 × 12,244.04
  4. Step 4: Simplify right side
    32,238.70x = 592,007,904.83
  5. Step 5: Solve for x
    x = 592,007,904.83/32,238.70
  6. Step 6: Final answer
    x = 18,363.27

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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.