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Finding the Fourth Proportional to 34,786.78, 52,169.22 and 11,407.76

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Solution

The fourth proportional to 34,786.78, 52,169.22 and 11,407.76 is: 17,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,786.78 : 52,169.22 = 11,407.76 : x
  2. Step 2: Convert to fraction form
    34,786.78/52,169.22 = 11,407.76/x
  3. Step 3: Cross multiply
    34,786.78x = 52,169.22 × 11,407.76
  4. Step 4: Simplify right side
    34,786.78x = 595,133,941.15
  5. Step 5: Solve for x
    x = 595,133,941.15/34,786.78
  6. Step 6: Final answer
    x = 17,108.05

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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.