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Finding the Fourth Proportional to 55,175.50, 76,142.19 and 30,025

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Solution

The fourth proportional to 55,175.50, 76,142.19 and 30,025 is: 41,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,175.50 : 76,142.19 = 30,025 : x
  2. Step 2: Convert to fraction form
    55,175.50/76,142.19 = 30,025/x
  3. Step 3: Cross multiply
    55,175.50x = 76,142.19 × 30,025
  4. Step 4: Simplify right side
    55,175.50x = 2,286,169,254.75
  5. Step 5: Solve for x
    x = 2,286,169,254.75/55,175.50
  6. Step 6: Final answer
    x = 41,434.50

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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.