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Finding the Fourth Proportional to 34,060.38, 46,976.64 and 23,311.62

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Solution

The fourth proportional to 34,060.38, 46,976.64 and 23,311.62 is: 32,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,060.38 : 46,976.64 = 23,311.62 : x
  2. Step 2: Convert to fraction form
    34,060.38/46,976.64 = 23,311.62/x
  3. Step 3: Cross multiply
    34,060.38x = 46,976.64 × 23,311.62
  4. Step 4: Simplify right side
    34,060.38x = 1,095,101,580.56
  5. Step 5: Solve for x
    x = 1,095,101,580.56/34,060.38
  6. Step 6: Final answer
    x = 32,151.77

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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.