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Finding the Fourth Proportional to 50,271, 69,374.75 and 27,612.30

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Solution

The fourth proportional to 50,271, 69,374.75 and 27,612.30 is: 38,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,271 : 69,374.75 = 27,612.30 : x
  2. Step 2: Convert to fraction form
    50,271/69,374.75 = 27,612.30/x
  3. Step 3: Cross multiply
    50,271x = 69,374.75 × 27,612.30
  4. Step 4: Simplify right side
    50,271x = 1,915,596,409.43
  5. Step 5: Solve for x
    x = 1,915,596,409.43/50,271
  6. Step 6: Final answer
    x = 38,105.40

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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.