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Finding the Fourth Proportional to 77,197.50, 106,535.43 and 43,662.78

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Solution

The fourth proportional to 77,197.50, 106,535.43 and 43,662.78 is: 60,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,197.50 : 106,535.43 = 43,662.78 : x
  2. Step 2: Convert to fraction form
    77,197.50/106,535.43 = 43,662.78/x
  3. Step 3: Cross multiply
    77,197.50x = 106,535.43 × 43,662.78
  4. Step 4: Simplify right side
    77,197.50x = 4,651,633,042.30
  5. Step 5: Solve for x
    x = 4,651,633,042.30/77,197.50
  6. Step 6: Final answer
    x = 60,256.27

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1.5x scale

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.