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Finding the Fourth Proportional to 41,098.38, 56,715.76 and 22,235.50

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Solution

The fourth proportional to 41,098.38, 56,715.76 and 22,235.50 is: 30,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,098.38 : 56,715.76 = 22,235.50 : x
  2. Step 2: Convert to fraction form
    41,098.38/56,715.76 = 22,235.50/x
  3. Step 3: Cross multiply
    41,098.38x = 56,715.76 × 22,235.50
  4. Step 4: Simplify right side
    41,098.38x = 1,261,103,281.48
  5. Step 5: Solve for x
    x = 1,261,103,281.48/41,098.38
  6. Step 6: Final answer
    x = 30,684.99

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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.