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Finding the Fourth Proportional to 29,500, 40,710 and 16,252

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Solution

The fourth proportional to 29,500, 40,710 and 16,252 is: 22,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,500 : 40,710 = 16,252 : x
  2. Step 2: Convert to fraction form
    29,500/40,710 = 16,252/x
  3. Step 3: Cross multiply
    29,500x = 40,710 × 16,252
  4. Step 4: Simplify right side
    29,500x = 661,618,920
  5. Step 5: Solve for x
    x = 661,618,920/29,500
  6. Step 6: Final answer
    x = 22,427.76

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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.