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Finding the Fourth Proportional to 86,508.61, 119,384.73 and 50,207.31

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Solution

The fourth proportional to 86,508.61, 119,384.73 and 50,207.31 is: 69,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,508.61 : 119,384.73 = 50,207.31 : x
  2. Step 2: Convert to fraction form
    86,508.61/119,384.73 = 50,207.31/x
  3. Step 3: Cross multiply
    86,508.61x = 119,384.73 × 50,207.31
  4. Step 4: Simplify right side
    86,508.61x = 5,993,986,148.38
  5. Step 5: Solve for x
    x = 5,993,986,148.38/86,508.61
  6. Step 6: Final answer
    x = 69,287.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.