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Finding the Fourth Proportional to 34,764.30, 52,127.01 and 11,388.78

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Solution

The fourth proportional to 34,764.30, 52,127.01 and 11,388.78 is: 17,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,764.30 : 52,127.01 = 11,388.78 : x
  2. Step 2: Convert to fraction form
    34,764.30/52,127.01 = 11,388.78/x
  3. Step 3: Cross multiply
    34,764.30x = 52,127.01 × 11,388.78
  4. Step 4: Simplify right side
    34,764.30x = 593,663,048.95
  5. Step 5: Solve for x
    x = 593,663,048.95/34,764.30
  6. Step 6: Final answer
    x = 17,076.80

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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.