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Finding the Fourth Proportional to 55,002, 75,904.38 and 29,853.12

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Solution

The fourth proportional to 55,002, 75,904.38 and 29,853.12 is: 41,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,002 : 75,904.38 = 29,853.12 : x
  2. Step 2: Convert to fraction form
    55,002/75,904.38 = 29,853.12/x
  3. Step 3: Cross multiply
    55,002x = 75,904.38 × 29,853.12
  4. Step 4: Simplify right side
    55,002x = 2,265,982,564.67
  5. Step 5: Solve for x
    x = 2,265,982,564.67/55,002
  6. Step 6: Final answer
    x = 41,198.18

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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.