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Finding the Fourth Proportional to 55,168, 82,768.32 and 31,811.20

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Solution

The fourth proportional to 55,168, 82,768.32 and 31,811.20 is: 47,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,168 : 82,768.32 = 31,811.20 : x
  2. Step 2: Convert to fraction form
    55,168/82,768.32 = 31,811.20/x
  3. Step 3: Cross multiply
    55,168x = 82,768.32 × 31,811.20
  4. Step 4: Simplify right side
    55,168x = 2,632,959,581.18
  5. Step 5: Solve for x
    x = 2,632,959,581.18/55,168
  6. Step 6: Final answer
    x = 47,726.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.