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Finding the Fourth Proportional to 41,814.69, 57,624.62 and 41,046.08

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Solution

The fourth proportional to 41,814.69, 57,624.62 and 41,046.08 is: 56,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,814.69 : 57,624.62 = 41,046.08 : x
  2. Step 2: Convert to fraction form
    41,814.69/57,624.62 = 41,046.08/x
  3. Step 3: Cross multiply
    41,814.69x = 57,624.62 × 41,046.08
  4. Step 4: Simplify right side
    41,814.69x = 2,365,264,269.14
  5. Step 5: Solve for x
    x = 2,365,264,269.14/41,814.69
  6. Step 6: Final answer
    x = 56,565.39

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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.