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Finding the Fourth Proportional to 55,811, 77,019.21 and 30,662.12

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Solution

The fourth proportional to 55,811, 77,019.21 and 30,662.12 is: 42,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,811 : 77,019.21 = 30,662.12 : x
  2. Step 2: Convert to fraction form
    55,811/77,019.21 = 30,662.12/x
  3. Step 3: Cross multiply
    55,811x = 77,019.21 × 30,662.12
  4. Step 4: Simplify right side
    55,811x = 2,361,572,259.33
  5. Step 5: Solve for x
    x = 2,361,572,259.33/55,811
  6. Step 6: Final answer
    x = 42,313.74

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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.