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Finding the Fourth Proportional to 69,822, 96,360.84 and 40,014

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Solution

The fourth proportional to 69,822, 96,360.84 and 40,014 is: 55,223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,822 : 96,360.84 = 40,014 : x
  2. Step 2: Convert to fraction form
    69,822/96,360.84 = 40,014/x
  3. Step 3: Cross multiply
    69,822x = 96,360.84 × 40,014
  4. Step 4: Simplify right side
    69,822x = 3,855,782,651.76
  5. Step 5: Solve for x
    x = 3,855,782,651.76/69,822
  6. Step 6: Final answer
    x = 55,223.03

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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.