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Finding the Fourth Proportional to 50,098.64, 69,140.76 and 27,742.64

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Solution

The fourth proportional to 50,098.64, 69,140.76 and 27,742.64 is: 38,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,098.64 : 69,140.76 = 27,742.64 : x
  2. Step 2: Convert to fraction form
    50,098.64/69,140.76 = 27,742.64/x
  3. Step 3: Cross multiply
    50,098.64x = 69,140.76 × 27,742.64
  4. Step 4: Simplify right side
    50,098.64x = 1,918,147,214.01
  5. Step 5: Solve for x
    x = 1,918,147,214.01/50,098.64
  6. Step 6: Final answer
    x = 38,287.41

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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.