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Finding the Fourth Proportional to 22,042.38, 30,328.38 and 19,048.62

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Solution

The fourth proportional to 22,042.38, 30,328.38 and 19,048.62 is: 26,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,042.38 : 30,328.38 = 19,048.62 : x
  2. Step 2: Convert to fraction form
    22,042.38/30,328.38 = 19,048.62/x
  3. Step 3: Cross multiply
    22,042.38x = 30,328.38 × 19,048.62
  4. Step 4: Simplify right side
    22,042.38x = 577,713,785.84
  5. Step 5: Solve for x
    x = 577,713,785.84/22,042.38
  6. Step 6: Final answer
    x = 26,209.23

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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.