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Finding the Fourth Proportional to 29,532.64, 40,756.02 and 16,105

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Solution

The fourth proportional to 29,532.64, 40,756.02 and 16,105 is: 22,225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,532.64 : 40,756.02 = 16,105 : x
  2. Step 2: Convert to fraction form
    29,532.64/40,756.02 = 16,105/x
  3. Step 3: Cross multiply
    29,532.64x = 40,756.02 × 16,105
  4. Step 4: Simplify right side
    29,532.64x = 656,375,702.10
  5. Step 5: Solve for x
    x = 656,375,702.10/29,532.64
  6. Step 6: Final answer
    x = 22,225.43

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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.