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Finding the Fourth Proportional to 55,664, 76,816.50 and 30,170.78

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Solution

The fourth proportional to 55,664, 76,816.50 and 30,170.78 is: 41,635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,664 : 76,816.50 = 30,170.78 : x
  2. Step 2: Convert to fraction form
    55,664/76,816.50 = 30,170.78/x
  3. Step 3: Cross multiply
    55,664x = 76,816.50 × 30,170.78
  4. Step 4: Simplify right side
    55,664x = 2,317,613,721.87
  5. Step 5: Solve for x
    x = 2,317,613,721.87/55,664
  6. Step 6: Final answer
    x = 41,635.77

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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.