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Finding the Fourth Proportional to 29,946, 44,921.16 and 11,478

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Solution

The fourth proportional to 29,946, 44,921.16 and 11,478 is: 17,217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,946 : 44,921.16 = 11,478 : x
  2. Step 2: Convert to fraction form
    29,946/44,921.16 = 11,478/x
  3. Step 3: Cross multiply
    29,946x = 44,921.16 × 11,478
  4. Step 4: Simplify right side
    29,946x = 515,605,074.48
  5. Step 5: Solve for x
    x = 515,605,074.48/29,946
  6. Step 6: Final answer
    x = 17,217.83

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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.