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Finding the Fourth Proportional to 32,581.44, 48,871.65 and 10,394.68

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Solution

The fourth proportional to 32,581.44, 48,871.65 and 10,394.68 is: 15,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,581.44 : 48,871.65 = 10,394.68 : x
  2. Step 2: Convert to fraction form
    32,581.44/48,871.65 = 10,394.68/x
  3. Step 3: Cross multiply
    32,581.44x = 48,871.65 × 10,394.68
  4. Step 4: Simplify right side
    32,581.44x = 508,005,171.26
  5. Step 5: Solve for x
    x = 508,005,171.26/32,581.44
  6. Step 6: Final answer
    x = 15,591.86

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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.