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Finding the Fourth Proportional to 65,893.10, 98,839.65 and 36,295.70

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Solution

The fourth proportional to 65,893.10, 98,839.65 and 36,295.70 is: 54,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,893.10 : 98,839.65 = 36,295.70 : x
  2. Step 2: Convert to fraction form
    65,893.10/98,839.65 = 36,295.70/x
  3. Step 3: Cross multiply
    65,893.10x = 98,839.65 × 36,295.70
  4. Step 4: Simplify right side
    65,893.10x = 3,587,454,284.51
  5. Step 5: Solve for x
    x = 3,587,454,284.51/65,893.10
  6. Step 6: Final answer
    x = 54,443.55

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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.