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Finding the Fourth Proportional to 50,098.96, 69,135.72 and 27,742.48

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Solution

The fourth proportional to 50,098.96, 69,135.72 and 27,742.48 is: 38,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,098.96 : 69,135.72 = 27,742.48 : x
  2. Step 2: Convert to fraction form
    50,098.96/69,135.72 = 27,742.48/x
  3. Step 3: Cross multiply
    50,098.96x = 69,135.72 × 27,742.48
  4. Step 4: Simplify right side
    50,098.96x = 1,917,996,329.39
  5. Step 5: Solve for x
    x = 1,917,996,329.39/50,098.96
  6. Step 6: Final answer
    x = 38,284.15

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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.