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Finding the Fourth Proportional to 34,153.08, 47,135.78 and 20,722.20

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Solution

The fourth proportional to 34,153.08, 47,135.78 and 20,722.20 is: 28,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,153.08 : 47,135.78 = 20,722.20 : x
  2. Step 2: Convert to fraction form
    34,153.08/47,135.78 = 20,722.20/x
  3. Step 3: Cross multiply
    34,153.08x = 47,135.78 × 20,722.20
  4. Step 4: Simplify right side
    34,153.08x = 976,757,060.32
  5. Step 5: Solve for x
    x = 976,757,060.32/34,153.08
  6. Step 6: Final answer
    x = 28,599.38

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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.