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Finding the Fourth Proportional to 32,154, 48,238.58 and 13,423.62

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Solution

The fourth proportional to 32,154, 48,238.58 and 13,423.62 is: 20,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,154 : 48,238.58 = 13,423.62 : x
  2. Step 2: Convert to fraction form
    32,154/48,238.58 = 13,423.62/x
  3. Step 3: Cross multiply
    32,154x = 48,238.58 × 13,423.62
  4. Step 4: Simplify right side
    32,154x = 647,536,367.26
  5. Step 5: Solve for x
    x = 647,536,367.26/32,154
  6. Step 6: Final answer
    x = 20,138.59

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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.