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Finding the Fourth Proportional to 115,493.75, 159,381.38 and 62,501.75

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Solution

The fourth proportional to 115,493.75, 159,381.38 and 62,501.75 is: 86,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,493.75 : 159,381.38 = 62,501.75 : x
  2. Step 2: Convert to fraction form
    115,493.75/159,381.38 = 62,501.75/x
  3. Step 3: Cross multiply
    115,493.75x = 159,381.38 × 62,501.75
  4. Step 4: Simplify right side
    115,493.75x = 9,961,615,167.42
  5. Step 5: Solve for x
    x = 9,961,615,167.42/115,493.75
  6. Step 6: Final answer
    x = 86,252.42

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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.