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Finding the Fourth Proportional to 52,101, 71,899.41 and 28,227.84

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Solution

The fourth proportional to 52,101, 71,899.41 and 28,227.84 is: 38,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,101 : 71,899.41 = 28,227.84 : x
  2. Step 2: Convert to fraction form
    52,101/71,899.41 = 28,227.84/x
  3. Step 3: Cross multiply
    52,101x = 71,899.41 × 28,227.84
  4. Step 4: Simplify right side
    52,101x = 2,029,565,041.57
  5. Step 5: Solve for x
    x = 2,029,565,041.57/52,101
  6. Step 6: Final answer
    x = 38,954.44

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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.