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Finding the Fourth Proportional to 68,527.78, 102,830.55 and 27,003.94

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Solution

The fourth proportional to 68,527.78, 102,830.55 and 27,003.94 is: 40,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,527.78 : 102,830.55 = 27,003.94 : x
  2. Step 2: Convert to fraction form
    68,527.78/102,830.55 = 27,003.94/x
  3. Step 3: Cross multiply
    68,527.78x = 102,830.55 × 27,003.94
  4. Step 4: Simplify right side
    68,527.78x = 2,776,830,002.37
  5. Step 5: Solve for x
    x = 2,776,830,002.37/68,527.78
  6. Step 6: Final answer
    x = 40,521.23

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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.