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Finding the Fourth Proportional to 55,906.56, 77,152.50 and 30,414.51

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Solution

The fourth proportional to 55,906.56, 77,152.50 and 30,414.51 is: 41,972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,906.56 : 77,152.50 = 30,414.51 : x
  2. Step 2: Convert to fraction form
    55,906.56/77,152.50 = 30,414.51/x
  3. Step 3: Cross multiply
    55,906.56x = 77,152.50 × 30,414.51
  4. Step 4: Simplify right side
    55,906.56x = 2,346,555,482.78
  5. Step 5: Solve for x
    x = 2,346,555,482.78/55,906.56
  6. Step 6: Final answer
    x = 41,972.81

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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.