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Finding the Fourth Proportional to 50,448, 69,618.24 and 28,097.28

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Solution

The fourth proportional to 50,448, 69,618.24 and 28,097.28 is: 38,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,448 : 69,618.24 = 28,097.28 : x
  2. Step 2: Convert to fraction form
    50,448/69,618.24 = 28,097.28/x
  3. Step 3: Cross multiply
    50,448x = 69,618.24 × 28,097.28
  4. Step 4: Simplify right side
    50,448x = 1,956,083,182.39
  5. Step 5: Solve for x
    x = 1,956,083,182.39/50,448
  6. Step 6: Final answer
    x = 38,774.25

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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.