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Finding the Fourth Proportional to 52,081.80, 71,872.68 and 28,208.52

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Solution

The fourth proportional to 52,081.80, 71,872.68 and 28,208.52 is: 38,927.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,081.80 : 71,872.68 = 28,208.52 : x
  2. Step 2: Convert to fraction form
    52,081.80/71,872.68 = 28,208.52/x
  3. Step 3: Cross multiply
    52,081.80x = 71,872.68 × 28,208.52
  4. Step 4: Simplify right side
    52,081.80x = 2,027,421,931.23
  5. Step 5: Solve for x
    x = 2,027,421,931.23/52,081.80
  6. Step 6: Final answer
    x = 38,927.65

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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.