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Finding the Fourth Proportional to 55,741.60, 76,923.54 and 31,868.92

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Solution

The fourth proportional to 55,741.60, 76,923.54 and 31,868.92 is: 43,979.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,741.60 : 76,923.54 = 31,868.92 : x
  2. Step 2: Convert to fraction form
    55,741.60/76,923.54 = 31,868.92/x
  3. Step 3: Cross multiply
    55,741.60x = 76,923.54 × 31,868.92
  4. Step 4: Simplify right side
    55,741.60x = 2,451,470,142.38
  5. Step 5: Solve for x
    x = 2,451,470,142.38/55,741.60
  6. Step 6: Final answer
    x = 43,979.19

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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.