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Finding the Fourth Proportional to 38,872.80, 53,636.94 and 21,874.77

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Solution

The fourth proportional to 38,872.80, 53,636.94 and 21,874.77 is: 30,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,872.80 : 53,636.94 = 21,874.77 : x
  2. Step 2: Convert to fraction form
    38,872.80/53,636.94 = 21,874.77/x
  3. Step 3: Cross multiply
    38,872.80x = 53,636.94 × 21,874.77
  4. Step 4: Simplify right side
    38,872.80x = 1,173,295,726.00
  5. Step 5: Solve for x
    x = 1,173,295,726.00/38,872.80
  6. Step 6: Final answer
    x = 30,182.95

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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.