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Finding the Fourth Proportional to 76,965.26, 106,211.01 and 42,974.31

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Solution

The fourth proportional to 76,965.26, 106,211.01 and 42,974.31 is: 59,303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,965.26 : 106,211.01 = 42,974.31 : x
  2. Step 2: Convert to fraction form
    76,965.26/106,211.01 = 42,974.31/x
  3. Step 3: Cross multiply
    76,965.26x = 106,211.01 × 42,974.31
  4. Step 4: Simplify right side
    76,965.26x = 4,564,345,428.60
  5. Step 5: Solve for x
    x = 4,564,345,428.60/76,965.26
  6. Step 6: Final answer
    x = 59,303.97

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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.