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Finding the Fourth Proportional to 55,984.80, 77,259 and 30,834

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Solution

The fourth proportional to 55,984.80, 77,259 and 30,834 is: 42,550.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,984.80 : 77,259 = 30,834 : x
  2. Step 2: Convert to fraction form
    55,984.80/77,259 = 30,834/x
  3. Step 3: Cross multiply
    55,984.80x = 77,259 × 30,834
  4. Step 4: Simplify right side
    55,984.80x = 2,382,204,006
  5. Step 5: Solve for x
    x = 2,382,204,006/55,984.80
  6. Step 6: Final answer
    x = 42,550.91

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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.