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Finding the Fourth Proportional to 55,178.69, 82,772.89 and 17,742.11

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Solution

The fourth proportional to 55,178.69, 82,772.89 and 17,742.11 is: 26,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,178.69 : 82,772.89 = 17,742.11 : x
  2. Step 2: Convert to fraction form
    55,178.69/82,772.89 = 17,742.11/x
  3. Step 3: Cross multiply
    55,178.69x = 82,772.89 × 17,742.11
  4. Step 4: Simplify right side
    55,178.69x = 1,468,565,261.18
  5. Step 5: Solve for x
    x = 1,468,565,261.18/55,178.69
  6. Step 6: Final answer
    x = 26,614.72

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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.