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Finding the Fourth Proportional to 29,016, 40,043.70 and 16,444.80

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Solution

The fourth proportional to 29,016, 40,043.70 and 16,444.80 is: 22,694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,016 : 40,043.70 = 16,444.80 : x
  2. Step 2: Convert to fraction form
    29,016/40,043.70 = 16,444.80/x
  3. Step 3: Cross multiply
    29,016x = 40,043.70 × 16,444.80
  4. Step 4: Simplify right side
    29,016x = 658,510,637.76
  5. Step 5: Solve for x
    x = 658,510,637.76/29,016
  6. Step 6: Final answer
    x = 22,694.74

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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.