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Finding the Fourth Proportional to 53,115.92, 73,299.57 and 29,243

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Solution

The fourth proportional to 53,115.92, 73,299.57 and 29,243 is: 40,355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,115.92 : 73,299.57 = 29,243 : x
  2. Step 2: Convert to fraction form
    53,115.92/73,299.57 = 29,243/x
  3. Step 3: Cross multiply
    53,115.92x = 73,299.57 × 29,243
  4. Step 4: Simplify right side
    53,115.92x = 2,143,499,325.51
  5. Step 5: Solve for x
    x = 2,143,499,325.51/53,115.92
  6. Step 6: Final answer
    x = 40,355.12

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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.