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Finding the Fourth Proportional to 56,181.96, 77,524.50 and 31,029.96

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Solution

The fourth proportional to 56,181.96, 77,524.50 and 31,029.96 is: 42,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,181.96 : 77,524.50 = 31,029.96 : x
  2. Step 2: Convert to fraction form
    56,181.96/77,524.50 = 31,029.96/x
  3. Step 3: Cross multiply
    56,181.96x = 77,524.50 × 31,029.96
  4. Step 4: Simplify right side
    56,181.96x = 2,405,582,134.02
  5. Step 5: Solve for x
    x = 2,405,582,134.02/56,181.96
  6. Step 6: Final answer
    x = 42,817.70

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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.