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Finding the Fourth Proportional to 51,580.96, 71,194.38 and 31,448.94

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Solution

The fourth proportional to 51,580.96, 71,194.38 and 31,448.94 is: 43,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,580.96 : 71,194.38 = 31,448.94 : x
  2. Step 2: Convert to fraction form
    51,580.96/71,194.38 = 31,448.94/x
  3. Step 3: Cross multiply
    51,580.96x = 71,194.38 × 31,448.94
  4. Step 4: Simplify right side
    51,580.96x = 2,238,987,784.96
  5. Step 5: Solve for x
    x = 2,238,987,784.96/51,580.96
  6. Step 6: Final answer
    x = 43,407.25

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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.