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Finding the Fourth Proportional to 76,212.65, 105,169.25 and 42,218.44

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Solution

The fourth proportional to 76,212.65, 105,169.25 and 42,218.44 is: 58,259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,212.65 : 105,169.25 = 42,218.44 : x
  2. Step 2: Convert to fraction form
    76,212.65/105,169.25 = 42,218.44/x
  3. Step 3: Cross multiply
    76,212.65x = 105,169.25 × 42,218.44
  4. Step 4: Simplify right side
    76,212.65x = 4,440,081,513.59
  5. Step 5: Solve for x
    x = 4,440,081,513.59/76,212.65
  6. Step 6: Final answer
    x = 58,259.11

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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.