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Finding the Fourth Proportional to 32,531.31, 48,803.49 and 13,811.20

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Solution

The fourth proportional to 32,531.31, 48,803.49 and 13,811.20 is: 20,719.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,531.31 : 48,803.49 = 13,811.20 : x
  2. Step 2: Convert to fraction form
    32,531.31/48,803.49 = 13,811.20/x
  3. Step 3: Cross multiply
    32,531.31x = 48,803.49 × 13,811.20
  4. Step 4: Simplify right side
    32,531.31x = 674,034,639.08
  5. Step 5: Solve for x
    x = 674,034,639.08/32,531.31
  6. Step 6: Final answer
    x = 20,719.57

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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.