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Finding the Fourth Proportional to 56,715.85, 78,270.47 and 31,566.97

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Solution

The fourth proportional to 56,715.85, 78,270.47 and 31,566.97 is: 43,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,715.85 : 78,270.47 = 31,566.97 : x
  2. Step 2: Convert to fraction form
    56,715.85/78,270.47 = 31,566.97/x
  3. Step 3: Cross multiply
    56,715.85x = 78,270.47 × 31,566.97
  4. Step 4: Simplify right side
    56,715.85x = 2,470,761,578.38
  5. Step 5: Solve for x
    x = 2,470,761,578.38/56,715.85
  6. Step 6: Final answer
    x = 43,563.86

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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.