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Finding the Fourth Proportional to 50,801.06, 70,102.94 and 27,830.97

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Solution

The fourth proportional to 50,801.06, 70,102.94 and 27,830.97 is: 38,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,801.06 : 70,102.94 = 27,830.97 : x
  2. Step 2: Convert to fraction form
    50,801.06/70,102.94 = 27,830.97/x
  3. Step 3: Cross multiply
    50,801.06x = 70,102.94 × 27,830.97
  4. Step 4: Simplify right side
    50,801.06x = 1,951,032,680.90
  5. Step 5: Solve for x
    x = 1,951,032,680.90/50,801.06
  6. Step 6: Final answer
    x = 38,405.35

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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.