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Finding the Fourth Proportional to 50,031.48, 74,972.96 and 27,814.30

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Solution

The fourth proportional to 50,031.48, 74,972.96 and 27,814.30 is: 41,680.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,031.48 : 74,972.96 = 27,814.30 : x
  2. Step 2: Convert to fraction form
    50,031.48/74,972.96 = 27,814.30/x
  3. Step 3: Cross multiply
    50,031.48x = 74,972.96 × 27,814.30
  4. Step 4: Simplify right side
    50,031.48x = 2,085,320,179.13
  5. Step 5: Solve for x
    x = 2,085,320,179.13/50,031.48
  6. Step 6: Final answer
    x = 41,680.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.