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Finding the Fourth Proportional to 50,214, 69,298.56 and 27,858

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Solution

The fourth proportional to 50,214, 69,298.56 and 27,858 is: 38,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,214 : 69,298.56 = 27,858 : x
  2. Step 2: Convert to fraction form
    50,214/69,298.56 = 27,858/x
  3. Step 3: Cross multiply
    50,214x = 69,298.56 × 27,858
  4. Step 4: Simplify right side
    50,214x = 1,930,519,284.48
  5. Step 5: Solve for x
    x = 1,930,519,284.48/50,214
  6. Step 6: Final answer
    x = 38,445.84

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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.