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Finding the Fourth Proportional to 40,313.74, 55,633.63 and 22,165.23

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Solution

The fourth proportional to 40,313.74, 55,633.63 and 22,165.23 is: 30,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,313.74 : 55,633.63 = 22,165.23 : x
  2. Step 2: Convert to fraction form
    40,313.74/55,633.63 = 22,165.23/x
  3. Step 3: Cross multiply
    40,313.74x = 55,633.63 × 22,165.23
  4. Step 4: Simplify right side
    40,313.74x = 1,233,131,954.77
  5. Step 5: Solve for x
    x = 1,233,131,954.77/40,313.74
  6. Step 6: Final answer
    x = 30,588.38

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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.