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Finding the Fourth Proportional to 50,357.60, 69,493.20 and 27,698

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Solution

The fourth proportional to 50,357.60, 69,493.20 and 27,698 is: 38,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,357.60 : 69,493.20 = 27,698 : x
  2. Step 2: Convert to fraction form
    50,357.60/69,493.20 = 27,698/x
  3. Step 3: Cross multiply
    50,357.60x = 69,493.20 × 27,698
  4. Step 4: Simplify right side
    50,357.60x = 1,924,822,653.60
  5. Step 5: Solve for x
    x = 1,924,822,653.60/50,357.60
  6. Step 6: Final answer
    x = 38,223.08

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1.5x scale

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.