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Finding the Fourth Proportional to 32,584.64, 48,884.92 and 10,398.02

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Solution

The fourth proportional to 32,584.64, 48,884.92 and 10,398.02 is: 15,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,584.64 : 48,884.92 = 10,398.02 : x
  2. Step 2: Convert to fraction form
    32,584.64/48,884.92 = 10,398.02/x
  3. Step 3: Cross multiply
    32,584.64x = 48,884.92 × 10,398.02
  4. Step 4: Simplify right side
    32,584.64x = 508,306,375.86
  5. Step 5: Solve for x
    x = 508,306,375.86/32,584.64
  6. Step 6: Final answer
    x = 15,599.57

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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.