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Finding the Fourth Proportional to 82,864.14, 114,351.93 and 45,138.39

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Solution

The fourth proportional to 82,864.14, 114,351.93 and 45,138.39 is: 62,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,864.14 : 114,351.93 = 45,138.39 : x
  2. Step 2: Convert to fraction form
    82,864.14/114,351.93 = 45,138.39/x
  3. Step 3: Cross multiply
    82,864.14x = 114,351.93 × 45,138.39
  4. Step 4: Simplify right side
    82,864.14x = 5,161,662,013.59
  5. Step 5: Solve for x
    x = 5,161,662,013.59/82,864.14
  6. Step 6: Final answer
    x = 62,290.66

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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.