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Finding the Fourth Proportional to 32,241.24, 48,363.48 and 13,510.80

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Solution

The fourth proportional to 32,241.24, 48,363.48 and 13,510.80 is: 20,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,241.24 : 48,363.48 = 13,510.80 : x
  2. Step 2: Convert to fraction form
    32,241.24/48,363.48 = 13,510.80/x
  3. Step 3: Cross multiply
    32,241.24x = 48,363.48 × 13,510.80
  4. Step 4: Simplify right side
    32,241.24x = 653,429,305.58
  5. Step 5: Solve for x
    x = 653,429,305.58/32,241.24
  6. Step 6: Final answer
    x = 20,266.88

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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.