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Finding the Fourth Proportional to 52,111.70, 71,913.85 and 28,238.36

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Solution

The fourth proportional to 52,111.70, 71,913.85 and 28,238.36 is: 38,968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,111.70 : 71,913.85 = 28,238.36 : x
  2. Step 2: Convert to fraction form
    52,111.70/71,913.85 = 28,238.36/x
  3. Step 3: Cross multiply
    52,111.70x = 71,913.85 × 28,238.36
  4. Step 4: Simplify right side
    52,111.70x = 2,030,729,294.47
  5. Step 5: Solve for x
    x = 2,030,729,294.47/52,111.70
  6. Step 6: Final answer
    x = 38,968.78

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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.