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Finding the Fourth Proportional to 52,993.38, 73,109.91 and 34,141.50

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Solution

The fourth proportional to 52,993.38, 73,109.91 and 34,141.50 is: 47,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,993.38 : 73,109.91 = 34,141.50 : x
  2. Step 2: Convert to fraction form
    52,993.38/73,109.91 = 34,141.50/x
  3. Step 3: Cross multiply
    52,993.38x = 73,109.91 × 34,141.50
  4. Step 4: Simplify right side
    52,993.38x = 2,496,081,992.27
  5. Step 5: Solve for x
    x = 2,496,081,992.27/52,993.38
  6. Step 6: Final answer
    x = 47,101.77

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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.