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Finding the Fourth Proportional to 55,794.24, 76,995.84 and 30,643.84

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Solution

The fourth proportional to 55,794.24, 76,995.84 and 30,643.84 is: 42,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,794.24 : 76,995.84 = 30,643.84 : x
  2. Step 2: Convert to fraction form
    55,794.24/76,995.84 = 30,643.84/x
  3. Step 3: Cross multiply
    55,794.24x = 76,995.84 × 30,643.84
  4. Step 4: Simplify right side
    55,794.24x = 2,359,448,201.63
  5. Step 5: Solve for x
    x = 2,359,448,201.63/55,794.24
  6. Step 6: Final answer
    x = 42,288.38

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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.