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Finding the Fourth Proportional to 32,020.28, 48,029.16 and 9,832.52

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Solution

The fourth proportional to 32,020.28, 48,029.16 and 9,832.52 is: 14,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,020.28 : 48,029.16 = 9,832.52 : x
  2. Step 2: Convert to fraction form
    32,020.28/48,029.16 = 9,832.52/x
  3. Step 3: Cross multiply
    32,020.28x = 48,029.16 × 9,832.52
  4. Step 4: Simplify right side
    32,020.28x = 472,247,676.28
  5. Step 5: Solve for x
    x = 472,247,676.28/32,020.28
  6. Step 6: Final answer
    x = 14,748.39

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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.