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Finding the Fourth Proportional to 82,867.14, 114,356.07 and 45,141.39

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Solution

The fourth proportional to 82,867.14, 114,356.07 and 45,141.39 is: 62,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,867.14 : 114,356.07 = 45,141.39 : x
  2. Step 2: Convert to fraction form
    82,867.14/114,356.07 = 45,141.39/x
  3. Step 3: Cross multiply
    82,867.14x = 114,356.07 × 45,141.39
  4. Step 4: Simplify right side
    82,867.14x = 5,162,191,954.74
  5. Step 5: Solve for x
    x = 5,162,191,954.74/82,867.14
  6. Step 6: Final answer
    x = 62,294.80

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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.