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Finding the Fourth Proportional to 52,070.71, 71,857.92 and 28,197.39

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Solution

The fourth proportional to 52,070.71, 71,857.92 and 28,197.39 is: 38,912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,070.71 : 71,857.92 = 28,197.39 : x
  2. Step 2: Convert to fraction form
    52,070.71/71,857.92 = 28,197.39/x
  3. Step 3: Cross multiply
    52,070.71x = 71,857.92 × 28,197.39
  4. Step 4: Simplify right side
    52,070.71x = 2,026,205,794.83
  5. Step 5: Solve for x
    x = 2,026,205,794.83/52,070.71
  6. Step 6: Final answer
    x = 38,912.58

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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.