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Finding the Fourth Proportional to 38,852.70, 53,616.15 and 21,855.66

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Solution

The fourth proportional to 38,852.70, 53,616.15 and 21,855.66 is: 30,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,852.70 : 53,616.15 = 21,855.66 : x
  2. Step 2: Convert to fraction form
    38,852.70/53,616.15 = 21,855.66/x
  3. Step 3: Cross multiply
    38,852.70x = 53,616.15 × 21,855.66
  4. Step 4: Simplify right side
    38,852.70x = 1,171,816,344.91
  5. Step 5: Solve for x
    x = 1,171,816,344.91/38,852.70
  6. Step 6: Final answer
    x = 30,160.49

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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.