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Finding the Fourth Proportional to 34,967.70, 48,143.97 and 32,583.06

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Solution

The fourth proportional to 34,967.70, 48,143.97 and 32,583.06 is: 44,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,967.70 : 48,143.97 = 32,583.06 : x
  2. Step 2: Convert to fraction form
    34,967.70/48,143.97 = 32,583.06/x
  3. Step 3: Cross multiply
    34,967.70x = 48,143.97 × 32,583.06
  4. Step 4: Simplify right side
    34,967.70x = 1,568,677,863.15
  5. Step 5: Solve for x
    x = 1,568,677,863.15/34,967.70
  6. Step 6: Final answer
    x = 44,860.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.