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Finding the Fourth Proportional to 52,070.82, 71,857.72 and 28,197.49

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Solution

The fourth proportional to 52,070.82, 71,857.72 and 28,197.49 is: 38,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,070.82 : 71,857.72 = 28,197.49 : x
  2. Step 2: Convert to fraction form
    52,070.82/71,857.72 = 28,197.49/x
  3. Step 3: Cross multiply
    52,070.82x = 71,857.72 × 28,197.49
  4. Step 4: Simplify right side
    52,070.82x = 2,026,207,341.12
  5. Step 5: Solve for x
    x = 2,026,207,341.12/52,070.82
  6. Step 6: Final answer
    x = 38,912.53

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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.