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Finding the Fourth Proportional to 29,037.68, 40,067.84 and 16,460

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Solution

The fourth proportional to 29,037.68, 40,067.84 and 16,460 is: 22,712.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,037.68 : 40,067.84 = 16,460 : x
  2. Step 2: Convert to fraction form
    29,037.68/40,067.84 = 16,460/x
  3. Step 3: Cross multiply
    29,037.68x = 40,067.84 × 16,460
  4. Step 4: Simplify right side
    29,037.68x = 659,516,646.40
  5. Step 5: Solve for x
    x = 659,516,646.40/29,037.68
  6. Step 6: Final answer
    x = 22,712.44

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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.