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Finding the Fourth Proportional to 56,817.50, 78,408.69 and 31,324.80

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Solution

The fourth proportional to 56,817.50, 78,408.69 and 31,324.80 is: 43,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,817.50 : 78,408.69 = 31,324.80 : x
  2. Step 2: Convert to fraction form
    56,817.50/78,408.69 = 31,324.80/x
  3. Step 3: Cross multiply
    56,817.50x = 78,408.69 × 31,324.80
  4. Step 4: Simplify right side
    56,817.50x = 2,456,136,532.51
  5. Step 5: Solve for x
    x = 2,456,136,532.51/56,817.50
  6. Step 6: Final answer
    x = 43,228.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.