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Finding the Fourth Proportional to 50,010, 74,956.56 and 27,812.88

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Solution

The fourth proportional to 50,010, 74,956.56 and 27,812.88 is: 41,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,010 : 74,956.56 = 27,812.88 : x
  2. Step 2: Convert to fraction form
    50,010/74,956.56 = 27,812.88/x
  3. Step 3: Cross multiply
    50,010x = 74,956.56 × 27,812.88
  4. Step 4: Simplify right side
    50,010x = 2,084,757,808.49
  5. Step 5: Solve for x
    x = 2,084,757,808.49/50,010
  6. Step 6: Final answer
    x = 41,686.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.