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Finding the Fourth Proportional to 62,782.44, 86,645.86 and 35,928.78

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Solution

The fourth proportional to 62,782.44, 86,645.86 and 35,928.78 is: 49,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,782.44 : 86,645.86 = 35,928.78 : x
  2. Step 2: Convert to fraction form
    62,782.44/86,645.86 = 35,928.78/x
  3. Step 3: Cross multiply
    62,782.44x = 86,645.86 × 35,928.78
  4. Step 4: Simplify right side
    62,782.44x = 3,113,080,041.85
  5. Step 5: Solve for x
    x = 3,113,080,041.85/62,782.44
  6. Step 6: Final answer
    x = 49,585.20

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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.