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Finding the Fourth Proportional to 82,228.59, 113,469.12 and 46,422.14

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Solution

The fourth proportional to 82,228.59, 113,469.12 and 46,422.14 is: 64,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,228.59 : 113,469.12 = 46,422.14 : x
  2. Step 2: Convert to fraction form
    82,228.59/113,469.12 = 46,422.14/x
  3. Step 3: Cross multiply
    82,228.59x = 113,469.12 × 46,422.14
  4. Step 4: Simplify right side
    82,228.59x = 5,267,478,806.97
  5. Step 5: Solve for x
    x = 5,267,478,806.97/82,228.59
  6. Step 6: Final answer
    x = 64,058.97

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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.