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Finding the Fourth Proportional to 32,203.32, 48,305.12 and 13,470.23

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Solution

The fourth proportional to 32,203.32, 48,305.12 and 13,470.23 is: 20,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203.32 : 48,305.12 = 13,470.23 : x
  2. Step 2: Convert to fraction form
    32,203.32/48,305.12 = 13,470.23/x
  3. Step 3: Cross multiply
    32,203.32x = 48,305.12 × 13,470.23
  4. Step 4: Simplify right side
    32,203.32x = 650,680,767.70
  5. Step 5: Solve for x
    x = 650,680,767.70/32,203.32
  6. Step 6: Final answer
    x = 20,205.39

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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.