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Finding the Fourth Proportional to 41,253.30, 61,879.95 and 31,411.80

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Solution

The fourth proportional to 41,253.30, 61,879.95 and 31,411.80 is: 47,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,253.30 : 61,879.95 = 31,411.80 : x
  2. Step 2: Convert to fraction form
    41,253.30/61,879.95 = 31,411.80/x
  3. Step 3: Cross multiply
    41,253.30x = 61,879.95 × 31,411.80
  4. Step 4: Simplify right side
    41,253.30x = 1,943,760,613.41
  5. Step 5: Solve for x
    x = 1,943,760,613.41/41,253.30
  6. Step 6: Final answer
    x = 47,117.70

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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.