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Finding the Fourth Proportional to 77,255.80, 115,854.52 and 35,673.64

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Solution

The fourth proportional to 77,255.80, 115,854.52 and 35,673.64 is: 53,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,255.80 : 115,854.52 = 35,673.64 : x
  2. Step 2: Convert to fraction form
    77,255.80/115,854.52 = 35,673.64/x
  3. Step 3: Cross multiply
    77,255.80x = 115,854.52 × 35,673.64
  4. Step 4: Simplify right side
    77,255.80x = 4,132,952,438.85
  5. Step 5: Solve for x
    x = 4,132,952,438.85/77,255.80
  6. Step 6: Final answer
    x = 53,496.99

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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.