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Finding the Fourth Proportional to 40,238, 55,528.44 and 22,574

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Solution

The fourth proportional to 40,238, 55,528.44 and 22,574 is: 31,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,238 : 55,528.44 = 22,574 : x
  2. Step 2: Convert to fraction form
    40,238/55,528.44 = 22,574/x
  3. Step 3: Cross multiply
    40,238x = 55,528.44 × 22,574
  4. Step 4: Simplify right side
    40,238x = 1,253,499,004.56
  5. Step 5: Solve for x
    x = 1,253,499,004.56/40,238
  6. Step 6: Final answer
    x = 31,152.12

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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.