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Finding the Fourth Proportional to 56,661.46, 78,191.22 and 31,167.80

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Solution

The fourth proportional to 56,661.46, 78,191.22 and 31,167.80 is: 43,010.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,661.46 : 78,191.22 = 31,167.80 : x
  2. Step 2: Convert to fraction form
    56,661.46/78,191.22 = 31,167.80/x
  3. Step 3: Cross multiply
    56,661.46x = 78,191.22 × 31,167.80
  4. Step 4: Simplify right side
    56,661.46x = 2,437,048,105.94
  5. Step 5: Solve for x
    x = 2,437,048,105.94/56,661.46
  6. Step 6: Final answer
    x = 43,010.69

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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.