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Finding the Fourth Proportional to 32,650.47, 48,980.39 and 12,394.70

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Solution

The fourth proportional to 32,650.47, 48,980.39 and 12,394.70 is: 18,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,650.47 : 48,980.39 = 12,394.70 : x
  2. Step 2: Convert to fraction form
    32,650.47/48,980.39 = 12,394.70/x
  3. Step 3: Cross multiply
    32,650.47x = 48,980.39 × 12,394.70
  4. Step 4: Simplify right side
    32,650.47x = 607,097,116.73
  5. Step 5: Solve for x
    x = 607,097,116.73/32,650.47
  6. Step 6: Final answer
    x = 18,593.82

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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.