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Finding the Fourth Proportional to 32,069.27, 48,077.98 and 13,363.40

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Solution

The fourth proportional to 32,069.27, 48,077.98 and 13,363.40 is: 20,034.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,069.27 : 48,077.98 = 13,363.40 : x
  2. Step 2: Convert to fraction form
    32,069.27/48,077.98 = 13,363.40/x
  3. Step 3: Cross multiply
    32,069.27x = 48,077.98 × 13,363.40
  4. Step 4: Simplify right side
    32,069.27x = 642,485,364.72
  5. Step 5: Solve for x
    x = 642,485,364.72/32,069.27
  6. Step 6: Final answer
    x = 20,034.30

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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.