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Finding the Fourth Proportional to 32,412.69, 48,620.96 and 9,039.13

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Solution

The fourth proportional to 32,412.69, 48,620.96 and 9,039.13 is: 13,559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.69 : 48,620.96 = 9,039.13 : x
  2. Step 2: Convert to fraction form
    32,412.69/48,620.96 = 9,039.13/x
  3. Step 3: Cross multiply
    32,412.69x = 48,620.96 × 9,039.13
  4. Step 4: Simplify right side
    32,412.69x = 439,491,045.31
  5. Step 5: Solve for x
    x = 439,491,045.31/32,412.69
  6. Step 6: Final answer
    x = 13,559.23

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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.