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Finding the Fourth Proportional to 55,767.83, 76,959.63 and 30,274.18

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Solution

The fourth proportional to 55,767.83, 76,959.63 and 30,274.18 is: 41,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,767.83 : 76,959.63 = 30,274.18 : x
  2. Step 2: Convert to fraction form
    55,767.83/76,959.63 = 30,274.18/x
  3. Step 3: Cross multiply
    55,767.83x = 76,959.63 × 30,274.18
  4. Step 4: Simplify right side
    55,767.83x = 2,329,889,498.95
  5. Step 5: Solve for x
    x = 2,329,889,498.95/55,767.83
  6. Step 6: Final answer
    x = 41,778.38

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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.