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Finding the Fourth Proportional to 61,324.86, 84,631.32 and 37,447.68

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Solution

The fourth proportional to 61,324.86, 84,631.32 and 37,447.68 is: 51,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,324.86 : 84,631.32 = 37,447.68 : x
  2. Step 2: Convert to fraction form
    61,324.86/84,631.32 = 37,447.68/x
  3. Step 3: Cross multiply
    61,324.86x = 84,631.32 × 37,447.68
  4. Step 4: Simplify right side
    61,324.86x = 3,169,246,589.34
  5. Step 5: Solve for x
    x = 3,169,246,589.34/61,324.86
  6. Step 6: Final answer
    x = 51,679.64

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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.