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Finding the Fourth Proportional to 32,382.30, 48,564.11 and 13,666.53

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Solution

The fourth proportional to 32,382.30, 48,564.11 and 13,666.53 is: 20,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382.30 : 48,564.11 = 13,666.53 : x
  2. Step 2: Convert to fraction form
    32,382.30/48,564.11 = 13,666.53/x
  3. Step 3: Cross multiply
    32,382.30x = 48,564.11 × 13,666.53
  4. Step 4: Simplify right side
    32,382.30x = 663,702,797.91
  5. Step 5: Solve for x
    x = 663,702,797.91/32,382.30
  6. Step 6: Final answer
    x = 20,495.85

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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.