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Finding the Fourth Proportional to 32,377.86, 48,546.66 and 13,648.26

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Solution

The fourth proportional to 32,377.86, 48,546.66 and 13,648.26 is: 20,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,377.86 : 48,546.66 = 13,648.26 : x
  2. Step 2: Convert to fraction form
    32,377.86/48,546.66 = 13,648.26/x
  3. Step 3: Cross multiply
    32,377.86x = 48,546.66 × 13,648.26
  4. Step 4: Simplify right side
    32,377.86x = 662,577,437.81
  5. Step 5: Solve for x
    x = 662,577,437.81/32,377.86
  6. Step 6: Final answer
    x = 20,463.90

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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.