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Finding the Fourth Proportional to 65,867.49, 98,801.49 and 15,947.52

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Solution

The fourth proportional to 65,867.49, 98,801.49 and 15,947.52 is: 23,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,867.49 : 98,801.49 = 15,947.52 : x
  2. Step 2: Convert to fraction form
    65,867.49/98,801.49 = 15,947.52/x
  3. Step 3: Cross multiply
    65,867.49x = 98,801.49 × 15,947.52
  4. Step 4: Simplify right side
    65,867.49x = 1,575,638,737.80
  5. Step 5: Solve for x
    x = 1,575,638,737.80/65,867.49
  6. Step 6: Final answer
    x = 23,921.34

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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.