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Finding the Fourth Proportional to 37,101.60, 55,587.60 and 31,269.60

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Solution

The fourth proportional to 37,101.60, 55,587.60 and 31,269.60 is: 46,849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,101.60 : 55,587.60 = 31,269.60 : x
  2. Step 2: Convert to fraction form
    37,101.60/55,587.60 = 31,269.60/x
  3. Step 3: Cross multiply
    37,101.60x = 55,587.60 × 31,269.60
  4. Step 4: Simplify right side
    37,101.60x = 1,738,202,016.96
  5. Step 5: Solve for x
    x = 1,738,202,016.96/37,101.60
  6. Step 6: Final answer
    x = 46,849.79

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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.