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Finding the Fourth Proportional to 86,835.24, 119,833.02 and 49,116.78

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Solution

The fourth proportional to 86,835.24, 119,833.02 and 49,116.78 is: 67,781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,835.24 : 119,833.02 = 49,116.78 : x
  2. Step 2: Convert to fraction form
    86,835.24/119,833.02 = 49,116.78/x
  3. Step 3: Cross multiply
    86,835.24x = 119,833.02 × 49,116.78
  4. Step 4: Simplify right side
    86,835.24x = 5,885,812,080.08
  5. Step 5: Solve for x
    x = 5,885,812,080.08/86,835.24
  6. Step 6: Final answer
    x = 67,781.38

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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.