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Finding the Fourth Proportional to 54,480.96, 75,301.92 and 50,281.92

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Solution

The fourth proportional to 54,480.96, 75,301.92 and 50,281.92 is: 69,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,480.96 : 75,301.92 = 50,281.92 : x
  2. Step 2: Convert to fraction form
    54,480.96/75,301.92 = 50,281.92/x
  3. Step 3: Cross multiply
    54,480.96x = 75,301.92 × 50,281.92
  4. Step 4: Simplify right side
    54,480.96x = 3,786,325,117.29
  5. Step 5: Solve for x
    x = 3,786,325,117.29/54,480.96
  6. Step 6: Final answer
    x = 69,498.14

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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.