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Finding the Fourth Proportional to 65,711.17, 90,668.72 and 40,223.30

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Solution

The fourth proportional to 65,711.17, 90,668.72 and 40,223.30 is: 55,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,711.17 : 90,668.72 = 40,223.30 : x
  2. Step 2: Convert to fraction form
    65,711.17/90,668.72 = 40,223.30/x
  3. Step 3: Cross multiply
    65,711.17x = 90,668.72 × 40,223.30
  4. Step 4: Simplify right side
    65,711.17x = 3,646,994,924.06
  5. Step 5: Solve for x
    x = 3,646,994,924.06/65,711.17
  6. Step 6: Final answer
    x = 55,500.38

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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.