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Finding the Fourth Proportional to 52,106.23, 71,906.34 and 28,232.89

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Solution

The fourth proportional to 52,106.23, 71,906.34 and 28,232.89 is: 38,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106.23 : 71,906.34 = 28,232.89 : x
  2. Step 2: Convert to fraction form
    52,106.23/71,906.34 = 28,232.89/x
  3. Step 3: Cross multiply
    52,106.23x = 71,906.34 × 28,232.89
  4. Step 4: Simplify right side
    52,106.23x = 2,030,123,787.52
  5. Step 5: Solve for x
    x = 2,030,123,787.52/52,106.23
  6. Step 6: Final answer
    x = 38,961.25

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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.