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Finding the Fourth Proportional to 38,646, 57,954.24 and 16,469.76

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Solution

The fourth proportional to 38,646, 57,954.24 and 16,469.76 is: 24,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,646 : 57,954.24 = 16,469.76 : x
  2. Step 2: Convert to fraction form
    38,646/57,954.24 = 16,469.76/x
  3. Step 3: Cross multiply
    38,646x = 57,954.24 × 16,469.76
  4. Step 4: Simplify right side
    38,646x = 954,492,423.78
  5. Step 5: Solve for x
    x = 954,492,423.78/38,646
  6. Step 6: Final answer
    x = 24,698.35

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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.