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Finding the Fourth Proportional to 53,538.57, 80,220.29 and 32,414.63

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Solution

The fourth proportional to 53,538.57, 80,220.29 and 32,414.63 is: 48,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,538.57 : 80,220.29 = 32,414.63 : x
  2. Step 2: Convert to fraction form
    53,538.57/80,220.29 = 32,414.63/x
  3. Step 3: Cross multiply
    53,538.57x = 80,220.29 × 32,414.63
  4. Step 4: Simplify right side
    53,538.57x = 2,600,310,455.67
  5. Step 5: Solve for x
    x = 2,600,310,455.67/53,538.57
  6. Step 6: Final answer
    x = 48,568.92

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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.