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Finding the Fourth Proportional to 34,290, 47,287.72 and 22,362.48

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Solution

The fourth proportional to 34,290, 47,287.72 and 22,362.48 is: 30,839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,290 : 47,287.72 = 22,362.48 : x
  2. Step 2: Convert to fraction form
    34,290/47,287.72 = 22,362.48/x
  3. Step 3: Cross multiply
    34,290x = 47,287.72 × 22,362.48
  4. Step 4: Simplify right side
    34,290x = 1,057,470,692.75
  5. Step 5: Solve for x
    x = 1,057,470,692.75/34,290
  6. Step 6: Final answer
    x = 30,839.04

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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.