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Finding the Fourth Proportional to 32,089.46, 48,142.38 and 13,363.26

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Solution

The fourth proportional to 32,089.46, 48,142.38 and 13,363.26 is: 20,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,089.46 : 48,142.38 = 13,363.26 : x
  2. Step 2: Convert to fraction form
    32,089.46/48,142.38 = 13,363.26/x
  3. Step 3: Cross multiply
    32,089.46x = 48,142.38 × 13,363.26
  4. Step 4: Simplify right side
    32,089.46x = 643,339,140.96
  5. Step 5: Solve for x
    x = 643,339,140.96/32,089.46
  6. Step 6: Final answer
    x = 20,048.30

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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.