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Finding the Fourth Proportional to 57,951, 79,972.38 and 31,455

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Solution

The fourth proportional to 57,951, 79,972.38 and 31,455 is: 43,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,951 : 79,972.38 = 31,455 : x
  2. Step 2: Convert to fraction form
    57,951/79,972.38 = 31,455/x
  3. Step 3: Cross multiply
    57,951x = 79,972.38 × 31,455
  4. Step 4: Simplify right side
    57,951x = 2,515,531,212.90
  5. Step 5: Solve for x
    x = 2,515,531,212.90/57,951
  6. Step 6: Final answer
    x = 43,407.90

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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.