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Finding the Fourth Proportional to 40,048.54, 55,264.76 and 22,142.47

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Solution

The fourth proportional to 40,048.54, 55,264.76 and 22,142.47 is: 30,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,048.54 : 55,264.76 = 22,142.47 : x
  2. Step 2: Convert to fraction form
    40,048.54/55,264.76 = 22,142.47/x
  3. Step 3: Cross multiply
    40,048.54x = 55,264.76 × 22,142.47
  4. Step 4: Simplify right side
    40,048.54x = 1,223,698,179.64
  5. Step 5: Solve for x
    x = 1,223,698,179.64/40,048.54
  6. Step 6: Final answer
    x = 30,555.38

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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.