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Finding the Fourth Proportional to 73,852.80, 101,917.49 and 42,023.75

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Solution

The fourth proportional to 73,852.80, 101,917.49 and 42,023.75 is: 57,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,852.80 : 101,917.49 = 42,023.75 : x
  2. Step 2: Convert to fraction form
    73,852.80/101,917.49 = 42,023.75/x
  3. Step 3: Cross multiply
    73,852.80x = 101,917.49 × 42,023.75
  4. Step 4: Simplify right side
    73,852.80x = 4,282,954,400.68
  5. Step 5: Solve for x
    x = 4,282,954,400.68/73,852.80
  6. Step 6: Final answer
    x = 57,993.12

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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.