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Finding the Fourth Proportional to 32,282.40, 48,429.06 and 10,091.40

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Solution

The fourth proportional to 32,282.40, 48,429.06 and 10,091.40 is: 15,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282.40 : 48,429.06 = 10,091.40 : x
  2. Step 2: Convert to fraction form
    32,282.40/48,429.06 = 10,091.40/x
  3. Step 3: Cross multiply
    32,282.40x = 48,429.06 × 10,091.40
  4. Step 4: Simplify right side
    32,282.40x = 488,717,016.08
  5. Step 5: Solve for x
    x = 488,717,016.08/32,282.40
  6. Step 6: Final answer
    x = 15,138.81

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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.