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Finding the Fourth Proportional to 40,825.78, 61,079.50 and 35,788.16

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Solution

The fourth proportional to 40,825.78, 61,079.50 and 35,788.16 is: 53,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,825.78 : 61,079.50 = 35,788.16 : x
  2. Step 2: Convert to fraction form
    40,825.78/61,079.50 = 35,788.16/x
  3. Step 3: Cross multiply
    40,825.78x = 61,079.50 × 35,788.16
  4. Step 4: Simplify right side
    40,825.78x = 2,185,922,918.72
  5. Step 5: Solve for x
    x = 2,185,922,918.72/40,825.78
  6. Step 6: Final answer
    x = 53,542.71

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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.