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Finding the Fourth Proportional to 76,171.47, 105,116.04 and 42,179.82

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Solution

The fourth proportional to 76,171.47, 105,116.04 and 42,179.82 is: 58,207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,171.47 : 105,116.04 = 42,179.82 : x
  2. Step 2: Convert to fraction form
    76,171.47/105,116.04 = 42,179.82/x
  3. Step 3: Cross multiply
    76,171.47x = 105,116.04 × 42,179.82
  4. Step 4: Simplify right side
    76,171.47x = 4,433,775,646.31
  5. Step 5: Solve for x
    x = 4,433,775,646.31/76,171.47
  6. Step 6: Final answer
    x = 58,207.83

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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.