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Finding the Fourth Proportional to 65,841.16, 90,860.54 and 35,626.54

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Solution

The fourth proportional to 65,841.16, 90,860.54 and 35,626.54 is: 49,164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,841.16 : 90,860.54 = 35,626.54 : x
  2. Step 2: Convert to fraction form
    65,841.16/90,860.54 = 35,626.54/x
  3. Step 3: Cross multiply
    65,841.16x = 90,860.54 × 35,626.54
  4. Step 4: Simplify right side
    65,841.16x = 3,237,046,524.65
  5. Step 5: Solve for x
    x = 3,237,046,524.65/65,841.16
  6. Step 6: Final answer
    x = 49,164.48

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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.