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Finding the Fourth Proportional to 50,102.28, 69,141.12 and 27,746.28

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Solution

The fourth proportional to 50,102.28, 69,141.12 and 27,746.28 is: 38,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,102.28 : 69,141.12 = 27,746.28 : x
  2. Step 2: Convert to fraction form
    50,102.28/69,141.12 = 27,746.28/x
  3. Step 3: Cross multiply
    50,102.28x = 69,141.12 × 27,746.28
  4. Step 4: Simplify right side
    50,102.28x = 1,918,408,875.03
  5. Step 5: Solve for x
    x = 1,918,408,875.03/50,102.28
  6. Step 6: Final answer
    x = 38,289.85

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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.