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Finding the Fourth Proportional to 76,542.90, 114,799.77 and 37,082.22

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Solution

The fourth proportional to 76,542.90, 114,799.77 and 37,082.22 is: 55,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,542.90 : 114,799.77 = 37,082.22 : x
  2. Step 2: Convert to fraction form
    76,542.90/114,799.77 = 37,082.22/x
  3. Step 3: Cross multiply
    76,542.90x = 114,799.77 × 37,082.22
  4. Step 4: Simplify right side
    76,542.90x = 4,257,030,327.09
  5. Step 5: Solve for x
    x = 4,257,030,327.09/76,542.90
  6. Step 6: Final answer
    x = 55,616.27

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1.5x scale

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.