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Finding the Fourth Proportional to 65,422, 90,292.08 and 38,555.92

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Solution

The fourth proportional to 65,422, 90,292.08 and 38,555.92 is: 53,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,422 : 90,292.08 = 38,555.92 : x
  2. Step 2: Convert to fraction form
    65,422/90,292.08 = 38,555.92/x
  3. Step 3: Cross multiply
    65,422x = 90,292.08 × 38,555.92
  4. Step 4: Simplify right side
    65,422x = 3,481,294,213.11
  5. Step 5: Solve for x
    x = 3,481,294,213.11/65,422
  6. Step 6: Final answer
    x = 53,212.90

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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.