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Finding the Fourth Proportional to 32,154.50, 48,239.33 and 13,424.12

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Solution

The fourth proportional to 32,154.50, 48,239.33 and 13,424.12 is: 20,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,154.50 : 48,239.33 = 13,424.12 : x
  2. Step 2: Convert to fraction form
    32,154.50/48,239.33 = 13,424.12/x
  3. Step 3: Cross multiply
    32,154.50x = 48,239.33 × 13,424.12
  4. Step 4: Simplify right side
    32,154.50x = 647,570,246.32
  5. Step 5: Solve for x
    x = 647,570,246.32/32,154.50
  6. Step 6: Final answer
    x = 20,139.34

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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.