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Finding the Fourth Proportional to 55,993, 77,270.34 and 30,843.04

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Solution

The fourth proportional to 55,993, 77,270.34 and 30,843.04 is: 42,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,993 : 77,270.34 = 30,843.04 : x
  2. Step 2: Convert to fraction form
    55,993/77,270.34 = 30,843.04/x
  3. Step 3: Cross multiply
    55,993x = 77,270.34 × 30,843.04
  4. Step 4: Simplify right side
    55,993x = 2,383,252,187.43
  5. Step 5: Solve for x
    x = 2,383,252,187.43/55,993
  6. Step 6: Final answer
    x = 42,563.40

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1.5x scale

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.