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Finding the Fourth Proportional to 40,196.20, 55,470 and 22,047

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Solution

The fourth proportional to 40,196.20, 55,470 and 22,047 is: 30,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,196.20 : 55,470 = 22,047 : x
  2. Step 2: Convert to fraction form
    40,196.20/55,470 = 22,047/x
  3. Step 3: Cross multiply
    40,196.20x = 55,470 × 22,047
  4. Step 4: Simplify right side
    40,196.20x = 1,222,947,090
  5. Step 5: Solve for x
    x = 1,222,947,090/40,196.20
  6. Step 6: Final answer
    x = 30,424.45

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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.