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Finding the Fourth Proportional to 57,527.35, 86,255.79 and 22,426

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Solution

The fourth proportional to 57,527.35, 86,255.79 and 22,426 is: 33,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,527.35 : 86,255.79 = 22,426 : x
  2. Step 2: Convert to fraction form
    57,527.35/86,255.79 = 22,426/x
  3. Step 3: Cross multiply
    57,527.35x = 86,255.79 × 22,426
  4. Step 4: Simplify right side
    57,527.35x = 1,934,372,346.54
  5. Step 5: Solve for x
    x = 1,934,372,346.54/57,527.35
  6. Step 6: Final answer
    x = 33,625.26

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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.