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Finding the Fourth Proportional to 41,205.80, 61,808.70 and 31,364.30

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Solution

The fourth proportional to 41,205.80, 61,808.70 and 31,364.30 is: 47,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,205.80 : 61,808.70 = 31,364.30 : x
  2. Step 2: Convert to fraction form
    41,205.80/61,808.70 = 31,364.30/x
  3. Step 3: Cross multiply
    41,205.80x = 61,808.70 × 31,364.30
  4. Step 4: Simplify right side
    41,205.80x = 1,938,586,609.41
  5. Step 5: Solve for x
    x = 1,938,586,609.41/41,205.80
  6. Step 6: Final answer
    x = 47,046.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.