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Finding the Fourth Proportional to 88,668, 122,361.84 and 48,924

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Solution

The fourth proportional to 88,668, 122,361.84 and 48,924 is: 67,515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,668 : 122,361.84 = 48,924 : x
  2. Step 2: Convert to fraction form
    88,668/122,361.84 = 48,924/x
  3. Step 3: Cross multiply
    88,668x = 122,361.84 × 48,924
  4. Step 4: Simplify right side
    88,668x = 5,986,430,660.16
  5. Step 5: Solve for x
    x = 5,986,430,660.16/88,668
  6. Step 6: Final answer
    x = 67,515.12

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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.