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Finding the Fourth Proportional to 52,943.66, 73,056.87 and 31,722.38

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Solution

The fourth proportional to 52,943.66, 73,056.87 and 31,722.38 is: 43,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,943.66 : 73,056.87 = 31,722.38 : x
  2. Step 2: Convert to fraction form
    52,943.66/73,056.87 = 31,722.38/x
  3. Step 3: Cross multiply
    52,943.66x = 73,056.87 × 31,722.38
  4. Step 4: Simplify right side
    52,943.66x = 2,317,537,791.75
  5. Step 5: Solve for x
    x = 2,317,537,791.75/52,943.66
  6. Step 6: Final answer
    x = 43,773.66

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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.