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Finding the Fourth Proportional to 66,448, 91,698.24 and 36,641.92

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Solution

The fourth proportional to 66,448, 91,698.24 and 36,641.92 is: 50,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,448 : 91,698.24 = 36,641.92 : x
  2. Step 2: Convert to fraction form
    66,448/91,698.24 = 36,641.92/x
  3. Step 3: Cross multiply
    66,448x = 91,698.24 × 36,641.92
  4. Step 4: Simplify right side
    66,448x = 3,359,999,574.22
  5. Step 5: Solve for x
    x = 3,359,999,574.22/66,448
  6. Step 6: Final answer
    x = 50,565.85

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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.