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Finding the Fourth Proportional to 32,449.76, 48,667.20 and 9,078.56

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Solution

The fourth proportional to 32,449.76, 48,667.20 and 9,078.56 is: 13,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449.76 : 48,667.20 = 9,078.56 : x
  2. Step 2: Convert to fraction form
    32,449.76/48,667.20 = 9,078.56/x
  3. Step 3: Cross multiply
    32,449.76x = 48,667.20 × 9,078.56
  4. Step 4: Simplify right side
    32,449.76x = 441,828,095.23
  5. Step 5: Solve for x
    x = 441,828,095.23/32,449.76
  6. Step 6: Final answer
    x = 13,615.76

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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.