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Finding the Fourth Proportional to 52,077.74, 71,867.16 and 28,204.34

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Solution

The fourth proportional to 52,077.74, 71,867.16 and 28,204.34 is: 38,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,077.74 : 71,867.16 = 28,204.34 : x
  2. Step 2: Convert to fraction form
    52,077.74/71,867.16 = 28,204.34/x
  3. Step 3: Cross multiply
    52,077.74x = 71,867.16 × 28,204.34
  4. Step 4: Simplify right side
    52,077.74x = 2,026,965,815.47
  5. Step 5: Solve for x
    x = 2,026,965,815.47/52,077.74
  6. Step 6: Final answer
    x = 38,921.92

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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.