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Finding the Fourth Proportional to 82,864.62, 114,353.38 and 45,138.06

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Solution

The fourth proportional to 82,864.62, 114,353.38 and 45,138.06 is: 62,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,864.62 : 114,353.38 = 45,138.06 : x
  2. Step 2: Convert to fraction form
    82,864.62/114,353.38 = 45,138.06/x
  3. Step 3: Cross multiply
    82,864.62x = 114,353.38 × 45,138.06
  4. Step 4: Simplify right side
    82,864.62x = 5,161,689,727.64
  5. Step 5: Solve for x
    x = 5,161,689,727.64/82,864.62
  6. Step 6: Final answer
    x = 62,290.63

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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.