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Finding the Fourth Proportional to 52,077.82, 71,867.48 and 28,204.49

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Solution

The fourth proportional to 52,077.82, 71,867.48 and 28,204.49 is: 38,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,077.82 : 71,867.48 = 28,204.49 : x
  2. Step 2: Convert to fraction form
    52,077.82/71,867.48 = 28,204.49/x
  3. Step 3: Cross multiply
    52,077.82x = 71,867.48 × 28,204.49
  4. Step 4: Simplify right side
    52,077.82x = 2,026,985,550.47
  5. Step 5: Solve for x
    x = 2,026,985,550.47/52,077.82
  6. Step 6: Final answer
    x = 38,922.25

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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.