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Finding the Fourth Proportional to 29,029.60, 40,063.98 and 16,453

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Solution

The fourth proportional to 29,029.60, 40,063.98 and 16,453 is: 22,706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,029.60 : 40,063.98 = 16,453 : x
  2. Step 2: Convert to fraction form
    29,029.60/40,063.98 = 16,453/x
  3. Step 3: Cross multiply
    29,029.60x = 40,063.98 × 16,453
  4. Step 4: Simplify right side
    29,029.60x = 659,172,662.94
  5. Step 5: Solve for x
    x = 659,172,662.94/29,029.60
  6. Step 6: Final answer
    x = 22,706.92

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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.