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Finding the Fourth Proportional to 50,002.74, 75,031.78 and 29,963

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Solution

The fourth proportional to 50,002.74, 75,031.78 and 29,963 is: 44,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,002.74 : 75,031.78 = 29,963 : x
  2. Step 2: Convert to fraction form
    50,002.74/75,031.78 = 29,963/x
  3. Step 3: Cross multiply
    50,002.74x = 75,031.78 × 29,963
  4. Step 4: Simplify right side
    50,002.74x = 2,248,177,224.14
  5. Step 5: Solve for x
    x = 2,248,177,224.14/50,002.74
  6. Step 6: Final answer
    x = 44,961.08

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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.