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Finding the Fourth Proportional to 61,253.24, 84,523.38 and 37,385.78

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Solution

The fourth proportional to 61,253.24, 84,523.38 and 37,385.78 is: 51,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,253.24 : 84,523.38 = 37,385.78 : x
  2. Step 2: Convert to fraction form
    61,253.24/84,523.38 = 37,385.78/x
  3. Step 3: Cross multiply
    61,253.24x = 84,523.38 × 37,385.78
  4. Step 4: Simplify right side
    61,253.24x = 3,159,972,489.54
  5. Step 5: Solve for x
    x = 3,159,972,489.54/61,253.24
  6. Step 6: Final answer
    x = 51,588.66

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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.