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Finding the Fourth Proportional to 32,005.50, 48,009.14 and 8,631.88

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Solution

The fourth proportional to 32,005.50, 48,009.14 and 8,631.88 is: 12,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.50 : 48,009.14 = 8,631.88 : x
  2. Step 2: Convert to fraction form
    32,005.50/48,009.14 = 8,631.88/x
  3. Step 3: Cross multiply
    32,005.50x = 48,009.14 × 8,631.88
  4. Step 4: Simplify right side
    32,005.50x = 414,409,135.38
  5. Step 5: Solve for x
    x = 414,409,135.38/32,005.50
  6. Step 6: Final answer
    x = 12,948.06

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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.