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Finding the Fourth Proportional to 76,867.74, 106,077.06 and 42,876.54

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Solution

The fourth proportional to 76,867.74, 106,077.06 and 42,876.54 is: 59,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,867.74 : 106,077.06 = 42,876.54 : x
  2. Step 2: Convert to fraction form
    76,867.74/106,077.06 = 42,876.54/x
  3. Step 3: Cross multiply
    76,867.74x = 106,077.06 × 42,876.54
  4. Step 4: Simplify right side
    76,867.74x = 4,548,217,306.17
  5. Step 5: Solve for x
    x = 4,548,217,306.17/76,867.74
  6. Step 6: Final answer
    x = 59,169.39

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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.