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Finding the Fourth Proportional to 50,886.83, 70,232.24 and 28,233.11

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Solution

The fourth proportional to 50,886.83, 70,232.24 and 28,233.11 is: 38,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,886.83 : 70,232.24 = 28,233.11 : x
  2. Step 2: Convert to fraction form
    50,886.83/70,232.24 = 28,233.11/x
  3. Step 3: Cross multiply
    50,886.83x = 70,232.24 × 28,233.11
  4. Step 4: Simplify right side
    50,886.83x = 1,982,874,591.88
  5. Step 5: Solve for x
    x = 1,982,874,591.88/50,886.83
  6. Step 6: Final answer
    x = 38,966.36

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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.