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Finding the Fourth Proportional to 52,005.78, 71,767.62 and 28,131.95

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Solution

The fourth proportional to 52,005.78, 71,767.62 and 28,131.95 is: 38,821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005.78 : 71,767.62 = 28,131.95 : x
  2. Step 2: Convert to fraction form
    52,005.78/71,767.62 = 28,131.95/x
  3. Step 3: Cross multiply
    52,005.78x = 71,767.62 × 28,131.95
  4. Step 4: Simplify right side
    52,005.78x = 2,018,962,738.62
  5. Step 5: Solve for x
    x = 2,018,962,738.62/52,005.78
  6. Step 6: Final answer
    x = 38,821.89

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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.