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Finding the Fourth Proportional to 54,530.32, 75,251.04 and 30,331.03

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Solution

The fourth proportional to 54,530.32, 75,251.04 and 30,331.03 is: 41,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,530.32 : 75,251.04 = 30,331.03 : x
  2. Step 2: Convert to fraction form
    54,530.32/75,251.04 = 30,331.03/x
  3. Step 3: Cross multiply
    54,530.32x = 75,251.04 × 30,331.03
  4. Step 4: Simplify right side
    54,530.32x = 2,282,441,551.77
  5. Step 5: Solve for x
    x = 2,282,441,551.77/54,530.32
  6. Step 6: Final answer
    x = 41,856.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.