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Finding the Fourth Proportional to 65,963.52, 98,963.82 and 26,548.32

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Solution

The fourth proportional to 65,963.52, 98,963.82 and 26,548.32 is: 39,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,963.52 : 98,963.82 = 26,548.32 : x
  2. Step 2: Convert to fraction form
    65,963.52/98,963.82 = 26,548.32/x
  3. Step 3: Cross multiply
    65,963.52x = 98,963.82 × 26,548.32
  4. Step 4: Simplify right side
    65,963.52x = 2,627,323,161.78
  5. Step 5: Solve for x
    x = 2,627,323,161.78/65,963.52
  6. Step 6: Final answer
    x = 39,829.94

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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.