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Finding the Fourth Proportional to 29,534, 40,756.92 and 16,286

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Solution

The fourth proportional to 29,534, 40,756.92 and 16,286 is: 22,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,534 : 40,756.92 = 16,286 : x
  2. Step 2: Convert to fraction form
    29,534/40,756.92 = 16,286/x
  3. Step 3: Cross multiply
    29,534x = 40,756.92 × 16,286
  4. Step 4: Simplify right side
    29,534x = 663,767,199.12
  5. Step 5: Solve for x
    x = 663,767,199.12/29,534
  6. Step 6: Final answer
    x = 22,474.68

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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.