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Finding the Fourth Proportional to 22,902, 34,529.55 and 22,759.84

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Solution

The fourth proportional to 22,902, 34,529.55 and 22,759.84 is: 34,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902 : 34,529.55 = 22,759.84 : x
  2. Step 2: Convert to fraction form
    22,902/34,529.55 = 22,759.84/x
  3. Step 3: Cross multiply
    22,902x = 34,529.55 × 22,759.84
  4. Step 4: Simplify right side
    22,902x = 785,887,033.27
  5. Step 5: Solve for x
    x = 785,887,033.27/22,902
  6. Step 6: Final answer
    x = 34,315.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.