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Finding the Fourth Proportional to 29,671.50, 40,946.67 and 16,423.50

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Solution

The fourth proportional to 29,671.50, 40,946.67 and 16,423.50 is: 22,664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,671.50 : 40,946.67 = 16,423.50 : x
  2. Step 2: Convert to fraction form
    29,671.50/40,946.67 = 16,423.50/x
  3. Step 3: Cross multiply
    29,671.50x = 40,946.67 × 16,423.50
  4. Step 4: Simplify right side
    29,671.50x = 672,487,634.75
  5. Step 5: Solve for x
    x = 672,487,634.75/29,671.50
  6. Step 6: Final answer
    x = 22,664.43

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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.