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Finding the Fourth Proportional to 82,832.93, 114,314.25 and 62,378.38

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Solution

The fourth proportional to 82,832.93, 114,314.25 and 62,378.38 is: 86,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,832.93 : 114,314.25 = 62,378.38 : x
  2. Step 2: Convert to fraction form
    82,832.93/114,314.25 = 62,378.38/x
  3. Step 3: Cross multiply
    82,832.93x = 114,314.25 × 62,378.38
  4. Step 4: Simplify right side
    82,832.93x = 7,130,737,725.92
  5. Step 5: Solve for x
    x = 7,130,737,725.92/82,832.93
  6. Step 6: Final answer
    x = 86,085.78

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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.