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Finding the Fourth Proportional to 76,241.52, 105,213.30 and 42,707.52

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Solution

The fourth proportional to 76,241.52, 105,213.30 and 42,707.52 is: 58,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,241.52 : 105,213.30 = 42,707.52 : x
  2. Step 2: Convert to fraction form
    76,241.52/105,213.30 = 42,707.52/x
  3. Step 3: Cross multiply
    76,241.52x = 105,213.30 × 42,707.52
  4. Step 4: Simplify right side
    76,241.52x = 4,493,399,114.02
  5. Step 5: Solve for x
    x = 4,493,399,114.02/76,241.52
  6. Step 6: Final answer
    x = 58,936.38

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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.