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Finding the Fourth Proportional to 34,866, 48,116.16 and 19,962

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Solution

The fourth proportional to 34,866, 48,116.16 and 19,962 is: 27,548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,866 : 48,116.16 = 19,962 : x
  2. Step 2: Convert to fraction form
    34,866/48,116.16 = 19,962/x
  3. Step 3: Cross multiply
    34,866x = 48,116.16 × 19,962
  4. Step 4: Simplify right side
    34,866x = 960,494,785.92
  5. Step 5: Solve for x
    x = 960,494,785.92/34,866
  6. Step 6: Final answer
    x = 27,548.18

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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.