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Finding the Fourth Proportional to 65,407.88, 90,280.13 and 38,568.26

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Solution

The fourth proportional to 65,407.88, 90,280.13 and 38,568.26 is: 53,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,407.88 : 90,280.13 = 38,568.26 : x
  2. Step 2: Convert to fraction form
    65,407.88/90,280.13 = 38,568.26/x
  3. Step 3: Cross multiply
    65,407.88x = 90,280.13 × 38,568.26
  4. Step 4: Simplify right side
    65,407.88x = 3,481,947,333.83
  5. Step 5: Solve for x
    x = 3,481,947,333.83/65,407.88
  6. Step 6: Final answer
    x = 53,234.37

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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.