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Finding the Fourth Proportional to 53,486.38, 73,811.21 and 29,288.87

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Solution

The fourth proportional to 53,486.38, 73,811.21 and 29,288.87 is: 40,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,486.38 : 73,811.21 = 29,288.87 : x
  2. Step 2: Convert to fraction form
    53,486.38/73,811.21 = 29,288.87/x
  3. Step 3: Cross multiply
    53,486.38x = 73,811.21 × 29,288.87
  4. Step 4: Simplify right side
    53,486.38x = 2,161,846,934.23
  5. Step 5: Solve for x
    x = 2,161,846,934.23/53,486.38
  6. Step 6: Final answer
    x = 40,418.64

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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.