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Finding the Fourth Proportional to 55,085.16, 82,612.98 and 23,913

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Solution

The fourth proportional to 55,085.16, 82,612.98 and 23,913 is: 35,863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,085.16 : 82,612.98 = 23,913 : x
  2. Step 2: Convert to fraction form
    55,085.16/82,612.98 = 23,913/x
  3. Step 3: Cross multiply
    55,085.16x = 82,612.98 × 23,913
  4. Step 4: Simplify right side
    55,085.16x = 1,975,524,190.74
  5. Step 5: Solve for x
    x = 1,975,524,190.74/55,085.16
  6. Step 6: Final answer
    x = 35,863.09

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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.