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Finding the Fourth Proportional to 37,101.70, 55,616.10 and 33,165.10

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Solution

The fourth proportional to 37,101.70, 55,616.10 and 33,165.10 is: 49,715.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,101.70 : 55,616.10 = 33,165.10 : x
  2. Step 2: Convert to fraction form
    37,101.70/55,616.10 = 33,165.10/x
  3. Step 3: Cross multiply
    37,101.70x = 55,616.10 × 33,165.10
  4. Step 4: Simplify right side
    37,101.70x = 1,844,513,518.11
  5. Step 5: Solve for x
    x = 1,844,513,518.11/37,101.70
  6. Step 6: Final answer
    x = 49,715.07

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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.