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Finding the Fourth Proportional to 32,171.16, 48,239.20 and 9,678.55

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Solution

The fourth proportional to 32,171.16, 48,239.20 and 9,678.55 is: 14,512.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171.16 : 48,239.20 = 9,678.55 : x
  2. Step 2: Convert to fraction form
    32,171.16/48,239.20 = 9,678.55/x
  3. Step 3: Cross multiply
    32,171.16x = 48,239.20 × 9,678.55
  4. Step 4: Simplify right side
    32,171.16x = 466,885,509.16
  5. Step 5: Solve for x
    x = 466,885,509.16/32,171.16
  6. Step 6: Final answer
    x = 14,512.55

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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.