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Finding the Fourth Proportional to 57,610.84, 86,386.74 and 26,419

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Solution

The fourth proportional to 57,610.84, 86,386.74 and 26,419 is: 39,614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,610.84 : 86,386.74 = 26,419 : x
  2. Step 2: Convert to fraction form
    57,610.84/86,386.74 = 26,419/x
  3. Step 3: Cross multiply
    57,610.84x = 86,386.74 × 26,419
  4. Step 4: Simplify right side
    57,610.84x = 2,282,251,284.06
  5. Step 5: Solve for x
    x = 2,282,251,284.06/57,610.84
  6. Step 6: Final answer
    x = 39,614.96

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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.