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Finding the Fourth Proportional to 50,441.58, 69,680.07 and 47,784.38

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Solution

The fourth proportional to 50,441.58, 69,680.07 and 47,784.38 is: 66,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,441.58 : 69,680.07 = 47,784.38 : x
  2. Step 2: Convert to fraction form
    50,441.58/69,680.07 = 47,784.38/x
  3. Step 3: Cross multiply
    50,441.58x = 69,680.07 × 47,784.38
  4. Step 4: Simplify right side
    50,441.58x = 3,329,618,594.91
  5. Step 5: Solve for x
    x = 3,329,618,594.91/50,441.58
  6. Step 6: Final answer
    x = 66,009.40

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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.