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Finding the Fourth Proportional to 53,471.52, 73,810.14 and 31,115.52

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Solution

The fourth proportional to 53,471.52, 73,810.14 and 31,115.52 is: 42,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,471.52 : 73,810.14 = 31,115.52 : x
  2. Step 2: Convert to fraction form
    53,471.52/73,810.14 = 31,115.52/x
  3. Step 3: Cross multiply
    53,471.52x = 73,810.14 × 31,115.52
  4. Step 4: Simplify right side
    53,471.52x = 2,296,640,887.37
  5. Step 5: Solve for x
    x = 2,296,640,887.37/53,471.52
  6. Step 6: Final answer
    x = 42,950.73

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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.