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Finding the Fourth Proportional to 32,351.38, 48,527.06 and 8,977.82

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Solution

The fourth proportional to 32,351.38, 48,527.06 and 8,977.82 is: 13,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,351.38 : 48,527.06 = 8,977.82 : x
  2. Step 2: Convert to fraction form
    32,351.38/48,527.06 = 8,977.82/x
  3. Step 3: Cross multiply
    32,351.38x = 48,527.06 × 8,977.82
  4. Step 4: Simplify right side
    32,351.38x = 435,667,209.81
  5. Step 5: Solve for x
    x = 435,667,209.81/32,351.38
  6. Step 6: Final answer
    x = 13,466.73

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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.