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Finding the Fourth Proportional to 29,097.50, 40,154.70 and 16,351.22

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Solution

The fourth proportional to 29,097.50, 40,154.70 and 16,351.22 is: 22,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097.50 : 40,154.70 = 16,351.22 : x
  2. Step 2: Convert to fraction form
    29,097.50/40,154.70 = 16,351.22/x
  3. Step 3: Cross multiply
    29,097.50x = 40,154.70 × 16,351.22
  4. Step 4: Simplify right side
    29,097.50x = 656,578,333.73
  5. Step 5: Solve for x
    x = 656,578,333.73/29,097.50
  6. Step 6: Final answer
    x = 22,564.77

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1.5x scale

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.