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Finding the Fourth Proportional to 55,422, 83,169.48 and 24,257.28

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Solution

The fourth proportional to 55,422, 83,169.48 and 24,257.28 is: 36,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,422 : 83,169.48 = 24,257.28 : x
  2. Step 2: Convert to fraction form
    55,422/83,169.48 = 24,257.28/x
  3. Step 3: Cross multiply
    55,422x = 83,169.48 × 24,257.28
  4. Step 4: Simplify right side
    55,422x = 2,017,465,363.81
  5. Step 5: Solve for x
    x = 2,017,465,363.81/55,422
  6. Step 6: Final answer
    x = 36,401.89

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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.