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Finding the Fourth Proportional to 41,762.94, 57,631.83 and 22,641.66

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Solution

The fourth proportional to 41,762.94, 57,631.83 and 22,641.66 is: 31,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,762.94 : 57,631.83 = 22,641.66 : x
  2. Step 2: Convert to fraction form
    41,762.94/57,631.83 = 22,641.66/x
  3. Step 3: Cross multiply
    41,762.94x = 57,631.83 × 22,641.66
  4. Step 4: Simplify right side
    41,762.94x = 1,304,880,300.04
  5. Step 5: Solve for x
    x = 1,304,880,300.04/41,762.94
  6. Step 6: Final answer
    x = 31,244.93

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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.