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Finding the Fourth Proportional to 57,469, 86,237.70 and 26,306.68

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Solution

The fourth proportional to 57,469, 86,237.70 and 26,306.68 is: 39,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,469 : 86,237.70 = 26,306.68 : x
  2. Step 2: Convert to fraction form
    57,469/86,237.70 = 26,306.68/x
  3. Step 3: Cross multiply
    57,469x = 86,237.70 × 26,306.68
  4. Step 4: Simplify right side
    57,469x = 2,268,627,577.84
  5. Step 5: Solve for x
    x = 2,268,627,577.84/57,469
  6. Step 6: Final answer
    x = 39,475.68

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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.