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Finding the Fourth Proportional to 86,347.84, 119,170.92 and 48,622

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Solution

The fourth proportional to 86,347.84, 119,170.92 and 48,622 is: 67,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,347.84 : 119,170.92 = 48,622 : x
  2. Step 2: Convert to fraction form
    86,347.84/119,170.92 = 48,622/x
  3. Step 3: Cross multiply
    86,347.84x = 119,170.92 × 48,622
  4. Step 4: Simplify right side
    86,347.84x = 5,794,328,472.24
  5. Step 5: Solve for x
    x = 5,794,328,472.24/86,347.84
  6. Step 6: Final answer
    x = 67,104.50

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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.