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Finding the Fourth Proportional to 55,434.72, 83,142.03 and 19,416.48

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Solution

The fourth proportional to 55,434.72, 83,142.03 and 19,416.48 is: 29,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,434.72 : 83,142.03 = 19,416.48 : x
  2. Step 2: Convert to fraction form
    55,434.72/83,142.03 = 19,416.48/x
  3. Step 3: Cross multiply
    55,434.72x = 83,142.03 × 19,416.48
  4. Step 4: Simplify right side
    55,434.72x = 1,614,325,562.65
  5. Step 5: Solve for x
    x = 1,614,325,562.65/55,434.72
  6. Step 6: Final answer
    x = 29,121.20

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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.