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Finding the Fourth Proportional to 23,166.30, 34,749.45 and 22,259.10

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Solution

The fourth proportional to 23,166.30, 34,749.45 and 22,259.10 is: 33,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,166.30 : 34,749.45 = 22,259.10 : x
  2. Step 2: Convert to fraction form
    23,166.30/34,749.45 = 22,259.10/x
  3. Step 3: Cross multiply
    23,166.30x = 34,749.45 × 22,259.10
  4. Step 4: Simplify right side
    23,166.30x = 773,491,482.50
  5. Step 5: Solve for x
    x = 773,491,482.50/23,166.30
  6. Step 6: Final answer
    x = 33,388.65

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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.