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Finding the Fourth Proportional to 32,447.55, 48,676.11 and 10,255.89

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Solution

The fourth proportional to 32,447.55, 48,676.11 and 10,255.89 is: 15,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.55 : 48,676.11 = 10,255.89 : x
  2. Step 2: Convert to fraction form
    32,447.55/48,676.11 = 10,255.89/x
  3. Step 3: Cross multiply
    32,447.55x = 48,676.11 × 10,255.89
  4. Step 4: Simplify right side
    32,447.55x = 499,216,829.79
  5. Step 5: Solve for x
    x = 499,216,829.79/32,447.55
  6. Step 6: Final answer
    x = 15,385.35

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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.