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Finding the Fourth Proportional to 29,647.35, 40,928.22 and 22,917.78

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Solution

The fourth proportional to 29,647.35, 40,928.22 and 22,917.78 is: 31,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,647.35 : 40,928.22 = 22,917.78 : x
  2. Step 2: Convert to fraction form
    29,647.35/40,928.22 = 22,917.78/x
  3. Step 3: Cross multiply
    29,647.35x = 40,928.22 × 22,917.78
  4. Step 4: Simplify right side
    29,647.35x = 937,983,941.75
  5. Step 5: Solve for x
    x = 937,983,941.75/29,647.35
  6. Step 6: Final answer
    x = 31,638.04

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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.