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Finding the Fourth Proportional to 32,438.67, 48,651.52 and 9,065.31

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Solution

The fourth proportional to 32,438.67, 48,651.52 and 9,065.31 is: 13,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,438.67 : 48,651.52 = 9,065.31 : x
  2. Step 2: Convert to fraction form
    32,438.67/48,651.52 = 9,065.31/x
  3. Step 3: Cross multiply
    32,438.67x = 48,651.52 × 9,065.31
  4. Step 4: Simplify right side
    32,438.67x = 441,041,110.77
  5. Step 5: Solve for x
    x = 441,041,110.77/32,438.67
  6. Step 6: Final answer
    x = 13,596.15

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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.