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Finding the Fourth Proportional to 35,679.80, 53,462.10 and 22,508.60

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Solution

The fourth proportional to 35,679.80, 53,462.10 and 22,508.60 is: 33,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,679.80 : 53,462.10 = 22,508.60 : x
  2. Step 2: Convert to fraction form
    35,679.80/53,462.10 = 22,508.60/x
  3. Step 3: Cross multiply
    35,679.80x = 53,462.10 × 22,508.60
  4. Step 4: Simplify right side
    35,679.80x = 1,203,357,024.06
  5. Step 5: Solve for x
    x = 1,203,357,024.06/35,679.80
  6. Step 6: Final answer
    x = 33,726.56

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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.