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Finding the Fourth Proportional to 57,902.34, 86,844.45 and 22,358.43

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Solution

The fourth proportional to 57,902.34, 86,844.45 and 22,358.43 is: 33,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,902.34 : 86,844.45 = 22,358.43 : x
  2. Step 2: Convert to fraction form
    57,902.34/86,844.45 = 22,358.43/x
  3. Step 3: Cross multiply
    57,902.34x = 86,844.45 × 22,358.43
  4. Step 4: Simplify right side
    57,902.34x = 1,941,705,640.06
  5. Step 5: Solve for x
    x = 1,941,705,640.06/57,902.34
  6. Step 6: Final answer
    x = 33,534.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.