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Finding the Fourth Proportional to 55,086.32, 76,019.64 and 32,726

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Solution

The fourth proportional to 55,086.32, 76,019.64 and 32,726 is: 45,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,086.32 : 76,019.64 = 32,726 : x
  2. Step 2: Convert to fraction form
    55,086.32/76,019.64 = 32,726/x
  3. Step 3: Cross multiply
    55,086.32x = 76,019.64 × 32,726
  4. Step 4: Simplify right side
    55,086.32x = 2,487,818,738.64
  5. Step 5: Solve for x
    x = 2,487,818,738.64/55,086.32
  6. Step 6: Final answer
    x = 45,162.19

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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.