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Finding the Fourth Proportional to 55,813.38, 77,022.24 and 30,319.54

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Solution

The fourth proportional to 55,813.38, 77,022.24 and 30,319.54 is: 41,840.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,813.38 : 77,022.24 = 30,319.54 : x
  2. Step 2: Convert to fraction form
    55,813.38/77,022.24 = 30,319.54/x
  3. Step 3: Cross multiply
    55,813.38x = 77,022.24 × 30,319.54
  4. Step 4: Simplify right side
    55,813.38x = 2,335,278,886.57
  5. Step 5: Solve for x
    x = 2,335,278,886.57/55,813.38
  6. Step 6: Final answer
    x = 41,840.84

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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.