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Finding the Fourth Proportional to 83,958.93, 115,774.31 and 53,745.53

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Solution

The fourth proportional to 83,958.93, 115,774.31 and 53,745.53 is: 74,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,958.93 : 115,774.31 = 53,745.53 : x
  2. Step 2: Convert to fraction form
    83,958.93/115,774.31 = 53,745.53/x
  3. Step 3: Cross multiply
    83,958.93x = 115,774.31 × 53,745.53
  4. Step 4: Simplify right side
    83,958.93x = 6,222,351,206.83
  5. Step 5: Solve for x
    x = 6,222,351,206.83/83,958.93
  6. Step 6: Final answer
    x = 74,111.85

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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.