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Finding the Fourth Proportional to 74,155.43, 111,232.21 and 17,996

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Solution

The fourth proportional to 74,155.43, 111,232.21 and 17,996 is: 26,993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,155.43 : 111,232.21 = 17,996 : x
  2. Step 2: Convert to fraction form
    74,155.43/111,232.21 = 17,996/x
  3. Step 3: Cross multiply
    74,155.43x = 111,232.21 × 17,996
  4. Step 4: Simplify right side
    74,155.43x = 2,001,734,851.16
  5. Step 5: Solve for x
    x = 2,001,734,851.16/74,155.43
  6. Step 6: Final answer
    x = 26,993.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.