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Finding the Fourth Proportional to 49,993.88, 75,027.74 and 23,698.71

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Solution

The fourth proportional to 49,993.88, 75,027.74 and 23,698.71 is: 35,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,993.88 : 75,027.74 = 23,698.71 : x
  2. Step 2: Convert to fraction form
    49,993.88/75,027.74 = 23,698.71/x
  3. Step 3: Cross multiply
    49,993.88x = 75,027.74 × 23,698.71
  4. Step 4: Simplify right side
    49,993.88x = 1,778,060,533.72
  5. Step 5: Solve for x
    x = 1,778,060,533.72/49,993.88
  6. Step 6: Final answer
    x = 35,565.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.