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Finding the Fourth Proportional to 58,107.66, 87,198.36 and 24,828

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Solution

The fourth proportional to 58,107.66, 87,198.36 and 24,828 is: 37,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,107.66 : 87,198.36 = 24,828 : x
  2. Step 2: Convert to fraction form
    58,107.66/87,198.36 = 24,828/x
  3. Step 3: Cross multiply
    58,107.66x = 87,198.36 × 24,828
  4. Step 4: Simplify right side
    58,107.66x = 2,164,960,882.08
  5. Step 5: Solve for x
    x = 2,164,960,882.08/58,107.66
  6. Step 6: Final answer
    x = 37,257.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.