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Finding the Fourth Proportional to 56,753.50, 85,136.40 and 21,231.76

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Solution

The fourth proportional to 56,753.50, 85,136.40 and 21,231.76 is: 31,849.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,753.50 : 85,136.40 = 21,231.76 : x
  2. Step 2: Convert to fraction form
    56,753.50/85,136.40 = 21,231.76/x
  3. Step 3: Cross multiply
    56,753.50x = 85,136.40 × 21,231.76
  4. Step 4: Simplify right side
    56,753.50x = 1,807,595,612.06
  5. Step 5: Solve for x
    x = 1,807,595,612.06/56,753.50
  6. Step 6: Final answer
    x = 31,849.94

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