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Finding the Fourth Proportional to 32,443.55, 48,671.81 and 13,723.50

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Solution

The fourth proportional to 32,443.55, 48,671.81 and 13,723.50 is: 20,587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,443.55 : 48,671.81 = 13,723.50 : x
  2. Step 2: Convert to fraction form
    32,443.55/48,671.81 = 13,723.50/x
  3. Step 3: Cross multiply
    32,443.55x = 48,671.81 × 13,723.50
  4. Step 4: Simplify right side
    32,443.55x = 667,947,515.92
  5. Step 5: Solve for x
    x = 667,947,515.92/32,443.55
  6. Step 6: Final answer
    x = 20,587.99

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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.