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Finding the Fourth Proportional to 56,469.72, 77,923.86 and 30,971.88

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Solution

The fourth proportional to 56,469.72, 77,923.86 and 30,971.88 is: 42,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,469.72 : 77,923.86 = 30,971.88 : x
  2. Step 2: Convert to fraction form
    56,469.72/77,923.86 = 30,971.88/x
  3. Step 3: Cross multiply
    56,469.72x = 77,923.86 × 30,971.88
  4. Step 4: Simplify right side
    56,469.72x = 2,413,448,441.06
  5. Step 5: Solve for x
    x = 2,413,448,441.06/56,469.72
  6. Step 6: Final answer
    x = 42,738.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.