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Finding the Fourth Proportional to 55,979.04, 77,250.60 and 30,828

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Solution

The fourth proportional to 55,979.04, 77,250.60 and 30,828 is: 42,542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,979.04 : 77,250.60 = 30,828 : x
  2. Step 2: Convert to fraction form
    55,979.04/77,250.60 = 30,828/x
  3. Step 3: Cross multiply
    55,979.04x = 77,250.60 × 30,828
  4. Step 4: Simplify right side
    55,979.04x = 2,381,481,496.80
  5. Step 5: Solve for x
    x = 2,381,481,496.80/55,979.04
  6. Step 6: Final answer
    x = 42,542.38

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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.