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Finding the Fourth Proportional to 50,098.50, 69,135.93 and 27,742.50

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Solution

The fourth proportional to 50,098.50, 69,135.93 and 27,742.50 is: 38,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,098.50 : 69,135.93 = 27,742.50 : x
  2. Step 2: Convert to fraction form
    50,098.50/69,135.93 = 27,742.50/x
  3. Step 3: Cross multiply
    50,098.50x = 69,135.93 × 27,742.50
  4. Step 4: Simplify right side
    50,098.50x = 1,918,003,538.03
  5. Step 5: Solve for x
    x = 1,918,003,538.03/50,098.50
  6. Step 6: Final answer
    x = 38,284.65

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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.