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Finding the Fourth Proportional to 57,809.30, 86,719.41 and 22,740.75

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Solution

The fourth proportional to 57,809.30, 86,719.41 and 22,740.75 is: 34,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,809.30 : 86,719.41 = 22,740.75 : x
  2. Step 2: Convert to fraction form
    57,809.30/86,719.41 = 22,740.75/x
  3. Step 3: Cross multiply
    57,809.30x = 86,719.41 × 22,740.75
  4. Step 4: Simplify right side
    57,809.30x = 1,972,064,422.96
  5. Step 5: Solve for x
    x = 1,972,064,422.96/57,809.30
  6. Step 6: Final answer
    x = 34,113.28

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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.