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Finding the Fourth Proportional to 76,215.14, 105,171.62 and 42,220.46

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Solution

The fourth proportional to 76,215.14, 105,171.62 and 42,220.46 is: 58,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,215.14 : 105,171.62 = 42,220.46 : x
  2. Step 2: Convert to fraction form
    76,215.14/105,171.62 = 42,220.46/x
  3. Step 3: Cross multiply
    76,215.14x = 105,171.62 × 42,220.46
  4. Step 4: Simplify right side
    76,215.14x = 4,440,393,755.04
  5. Step 5: Solve for x
    x = 4,440,393,755.04/76,215.14
  6. Step 6: Final answer
    x = 58,261.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.