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Finding the Fourth Proportional to 34,102.23, 47,068.34 and 22,917.75

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Solution

The fourth proportional to 34,102.23, 47,068.34 and 22,917.75 is: 31,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102.23 : 47,068.34 = 22,917.75 : x
  2. Step 2: Convert to fraction form
    34,102.23/47,068.34 = 22,917.75/x
  3. Step 3: Cross multiply
    34,102.23x = 47,068.34 × 22,917.75
  4. Step 4: Simplify right side
    34,102.23x = 1,078,700,449.04
  5. Step 5: Solve for x
    x = 1,078,700,449.04/34,102.23
  6. Step 6: Final answer
    x = 31,631.38

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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.