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Finding the Fourth Proportional to 54,453.28, 81,737.16 and 48,253

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Solution

The fourth proportional to 54,453.28, 81,737.16 and 48,253 is: 72,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,453.28 : 81,737.16 = 48,253 : x
  2. Step 2: Convert to fraction form
    54,453.28/81,737.16 = 48,253/x
  3. Step 3: Cross multiply
    54,453.28x = 81,737.16 × 48,253
  4. Step 4: Simplify right side
    54,453.28x = 3,944,063,181.48
  5. Step 5: Solve for x
    x = 3,944,063,181.48/54,453.28
  6. Step 6: Final answer
    x = 72,430.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.