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Finding the Fourth Proportional to 32,016.54, 48,034.02 and 9,833.16

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Solution

The fourth proportional to 32,016.54, 48,034.02 and 9,833.16 is: 14,752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016.54 : 48,034.02 = 9,833.16 : x
  2. Step 2: Convert to fraction form
    32,016.54/48,034.02 = 9,833.16/x
  3. Step 3: Cross multiply
    32,016.54x = 48,034.02 × 9,833.16
  4. Step 4: Simplify right side
    32,016.54x = 472,326,204.10
  5. Step 5: Solve for x
    x = 472,326,204.10/32,016.54
  6. Step 6: Final answer
    x = 14,752.57

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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.