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Finding the Fourth Proportional to 40,057.76, 55,278.05 and 21,908.19

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Solution

The fourth proportional to 40,057.76, 55,278.05 and 21,908.19 is: 30,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,057.76 : 55,278.05 = 21,908.19 : x
  2. Step 2: Convert to fraction form
    40,057.76/55,278.05 = 21,908.19/x
  3. Step 3: Cross multiply
    40,057.76x = 55,278.05 × 21,908.19
  4. Step 4: Simplify right side
    40,057.76x = 1,211,041,809.04
  5. Step 5: Solve for x
    x = 1,211,041,809.04/40,057.76
  6. Step 6: Final answer
    x = 30,232.39

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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.