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Finding the Fourth Proportional to 41,953.91, 57,895.29 and 22,834.05

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Solution

The fourth proportional to 41,953.91, 57,895.29 and 22,834.05 is: 31,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,953.91 : 57,895.29 = 22,834.05 : x
  2. Step 2: Convert to fraction form
    41,953.91/57,895.29 = 22,834.05/x
  3. Step 3: Cross multiply
    41,953.91x = 57,895.29 × 22,834.05
  4. Step 4: Simplify right side
    41,953.91x = 1,321,983,946.62
  5. Step 5: Solve for x
    x = 1,321,983,946.62/41,953.91
  6. Step 6: Final answer
    x = 31,510.39

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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.