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Finding the Fourth Proportional to 56,690.48, 84,997.24 and 31,747.68

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Solution

The fourth proportional to 56,690.48, 84,997.24 and 31,747.68 is: 47,599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,690.48 : 84,997.24 = 31,747.68 : x
  2. Step 2: Convert to fraction form
    56,690.48/84,997.24 = 31,747.68/x
  3. Step 3: Cross multiply
    56,690.48x = 84,997.24 × 31,747.68
  4. Step 4: Simplify right side
    56,690.48x = 2,698,465,176.40
  5. Step 5: Solve for x
    x = 2,698,465,176.40/56,690.48
  6. Step 6: Final answer
    x = 47,599.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.