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Finding the Fourth Proportional to 82,829.68, 114,309.77 and 62,375.13

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Solution

The fourth proportional to 82,829.68, 114,309.77 and 62,375.13 is: 86,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,829.68 : 114,309.77 = 62,375.13 : x
  2. Step 2: Convert to fraction form
    82,829.68/114,309.77 = 62,375.13/x
  3. Step 3: Cross multiply
    82,829.68x = 114,309.77 × 62,375.13
  4. Step 4: Simplify right side
    82,829.68x = 7,130,086,452.14
  5. Step 5: Solve for x
    x = 7,130,086,452.14/82,829.68
  6. Step 6: Final answer
    x = 86,081.30

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