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Finding the Fourth Proportional to 65,792.97, 90,794.12 and 35,578.08

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Solution

The fourth proportional to 65,792.97, 90,794.12 and 35,578.08 is: 49,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,792.97 : 90,794.12 = 35,578.08 : x
  2. Step 2: Convert to fraction form
    65,792.97/90,794.12 = 35,578.08/x
  3. Step 3: Cross multiply
    65,792.97x = 90,794.12 × 35,578.08
  4. Step 4: Simplify right side
    65,792.97x = 3,230,280,287.00
  5. Step 5: Solve for x
    x = 3,230,280,287.00/65,792.97
  6. Step 6: Final answer
    x = 49,097.65

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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.