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Finding the Fourth Proportional to 32,017.91, 48,034.01 and 9,833.54

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Solution

The fourth proportional to 32,017.91, 48,034.01 and 9,833.54 is: 14,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017.91 : 48,034.01 = 9,833.54 : x
  2. Step 2: Convert to fraction form
    32,017.91/48,034.01 = 9,833.54/x
  3. Step 3: Cross multiply
    32,017.91x = 48,034.01 × 9,833.54
  4. Step 4: Simplify right side
    32,017.91x = 472,344,069.36
  5. Step 5: Solve for x
    x = 472,344,069.36/32,017.91
  6. Step 6: Final answer
    x = 14,752.49

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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.