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Finding the Fourth Proportional to 56,706.45, 78,254.28 and 31,212.27

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Solution

The fourth proportional to 56,706.45, 78,254.28 and 31,212.27 is: 43,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,706.45 : 78,254.28 = 31,212.27 : x
  2. Step 2: Convert to fraction form
    56,706.45/78,254.28 = 31,212.27/x
  3. Step 3: Cross multiply
    56,706.45x = 78,254.28 × 31,212.27
  4. Step 4: Simplify right side
    56,706.45x = 2,442,493,716.02
  5. Step 5: Solve for x
    x = 2,442,493,716.02/56,706.45
  6. Step 6: Final answer
    x = 43,072.59

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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.