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Finding the Fourth Proportional to 58,606.25, 80,876.30 and 31,749.28

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Solution

The fourth proportional to 58,606.25, 80,876.30 and 31,749.28 is: 43,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,606.25 : 80,876.30 = 31,749.28 : x
  2. Step 2: Convert to fraction form
    58,606.25/80,876.30 = 31,749.28/x
  3. Step 3: Cross multiply
    58,606.25x = 80,876.30 × 31,749.28
  4. Step 4: Simplify right side
    58,606.25x = 2,567,764,294.06
  5. Step 5: Solve for x
    x = 2,567,764,294.06/58,606.25
  6. Step 6: Final answer
    x = 43,813.83

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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.