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Finding the Fourth Proportional to 33,145.80, 49,966.86 and 30,945.84

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Solution

The fourth proportional to 33,145.80, 49,966.86 and 30,945.84 is: 46,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,145.80 : 49,966.86 = 30,945.84 : x
  2. Step 2: Convert to fraction form
    33,145.80/49,966.86 = 30,945.84/x
  3. Step 3: Cross multiply
    33,145.80x = 49,966.86 × 30,945.84
  4. Step 4: Simplify right side
    33,145.80x = 1,546,266,454.86
  5. Step 5: Solve for x
    x = 1,546,266,454.86/33,145.80
  6. Step 6: Final answer
    x = 46,650.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.