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Finding the Fourth Proportional to 75,230.71, 103,816.90 and 41,239.27

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Solution

The fourth proportional to 75,230.71, 103,816.90 and 41,239.27 is: 56,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,230.71 : 103,816.90 = 41,239.27 : x
  2. Step 2: Convert to fraction form
    75,230.71/103,816.90 = 41,239.27/x
  3. Step 3: Cross multiply
    75,230.71x = 103,816.90 × 41,239.27
  4. Step 4: Simplify right side
    75,230.71x = 4,281,333,169.66
  5. Step 5: Solve for x
    x = 4,281,333,169.66/75,230.71
  6. Step 6: Final answer
    x = 56,909.38

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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.