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Finding the Fourth Proportional to 52,005.25, 71,767.19 and 28,131.87

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Solution

The fourth proportional to 52,005.25, 71,767.19 and 28,131.87 is: 38,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005.25 : 71,767.19 = 28,131.87 : x
  2. Step 2: Convert to fraction form
    52,005.25/71,767.19 = 28,131.87/x
  3. Step 3: Cross multiply
    52,005.25x = 71,767.19 × 28,131.87
  4. Step 4: Simplify right side
    52,005.25x = 2,018,944,955.05
  5. Step 5: Solve for x
    x = 2,018,944,955.05/52,005.25
  6. Step 6: Final answer
    x = 38,821.94

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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.