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Finding the Fourth Proportional to 30,764.54, 45,978.19 and 22,462.04

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Solution

The fourth proportional to 30,764.54, 45,978.19 and 22,462.04 is: 33,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.54 : 45,978.19 = 22,462.04 : x
  2. Step 2: Convert to fraction form
    30,764.54/45,978.19 = 22,462.04/x
  3. Step 3: Cross multiply
    30,764.54x = 45,978.19 × 22,462.04
  4. Step 4: Simplify right side
    30,764.54x = 1,032,763,942.91
  5. Step 5: Solve for x
    x = 1,032,763,942.91/30,764.54
  6. Step 6: Final answer
    x = 33,569.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.