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Finding the Fourth Proportional to 54,232.74, 81,406.62 and 48,033

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Solution

The fourth proportional to 54,232.74, 81,406.62 and 48,033 is: 72,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,232.74 : 81,406.62 = 48,033 : x
  2. Step 2: Convert to fraction form
    54,232.74/81,406.62 = 48,033/x
  3. Step 3: Cross multiply
    54,232.74x = 81,406.62 × 48,033
  4. Step 4: Simplify right side
    54,232.74x = 3,910,204,178.46
  5. Step 5: Solve for x
    x = 3,910,204,178.46/54,232.74
  6. Step 6: Final answer
    x = 72,100.44

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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.