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Finding the Fourth Proportional to 32,445.50, 48,676.88 and 10,259.28

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Solution

The fourth proportional to 32,445.50, 48,676.88 and 10,259.28 is: 15,391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,445.50 : 48,676.88 = 10,259.28 : x
  2. Step 2: Convert to fraction form
    32,445.50/48,676.88 = 10,259.28/x
  3. Step 3: Cross multiply
    32,445.50x = 48,676.88 × 10,259.28
  4. Step 4: Simplify right side
    32,445.50x = 499,389,767.09
  5. Step 5: Solve for x
    x = 499,389,767.09/32,445.50
  6. Step 6: Final answer
    x = 15,391.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.