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Finding the Fourth Proportional to 73,562.72, 110,296.60 and 31,470.26

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Solution

The fourth proportional to 73,562.72, 110,296.60 and 31,470.26 is: 47,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,562.72 : 110,296.60 = 31,470.26 : x
  2. Step 2: Convert to fraction form
    73,562.72/110,296.60 = 31,470.26/x
  3. Step 3: Cross multiply
    73,562.72x = 110,296.60 × 31,470.26
  4. Step 4: Simplify right side
    73,562.72x = 3,471,062,876.18
  5. Step 5: Solve for x
    x = 3,471,062,876.18/73,562.72
  6. Step 6: Final answer
    x = 47,185.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.