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Finding the Fourth Proportional to 50,537.32, 69,737.70 and 28,177

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Solution

The fourth proportional to 50,537.32, 69,737.70 and 28,177 is: 38,882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,537.32 : 69,737.70 = 28,177 : x
  2. Step 2: Convert to fraction form
    50,537.32/69,737.70 = 28,177/x
  3. Step 3: Cross multiply
    50,537.32x = 69,737.70 × 28,177
  4. Step 4: Simplify right side
    50,537.32x = 1,964,999,172.90
  5. Step 5: Solve for x
    x = 1,964,999,172.90/50,537.32
  6. Step 6: Final answer
    x = 38,882.14

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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.