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Finding the Fourth Proportional to 35,956.70, 53,935.34 and 10,997.21

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Solution

The fourth proportional to 35,956.70, 53,935.34 and 10,997.21 is: 16,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,956.70 : 53,935.34 = 10,997.21 : x
  2. Step 2: Convert to fraction form
    35,956.70/53,935.34 = 10,997.21/x
  3. Step 3: Cross multiply
    35,956.70x = 53,935.34 × 10,997.21
  4. Step 4: Simplify right side
    35,956.70x = 593,137,935.74
  5. Step 5: Solve for x
    x = 593,137,935.74/35,956.70
  6. Step 6: Final answer
    x = 16,495.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.