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Finding the Fourth Proportional to 62,317.84, 85,997.25 and 34,024

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Solution

The fourth proportional to 62,317.84, 85,997.25 and 34,024 is: 46,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,317.84 : 85,997.25 = 34,024 : x
  2. Step 2: Convert to fraction form
    62,317.84/85,997.25 = 34,024/x
  3. Step 3: Cross multiply
    62,317.84x = 85,997.25 × 34,024
  4. Step 4: Simplify right side
    62,317.84x = 2,925,970,434
  5. Step 5: Solve for x
    x = 2,925,970,434/62,317.84
  6. Step 6: Final answer
    x = 46,952.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.