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Finding the Fourth Proportional to 76,911.66, 106,186.14 and 58,972.19

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Solution

The fourth proportional to 76,911.66, 106,186.14 and 58,972.19 is: 81,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,911.66 : 106,186.14 = 58,972.19 : x
  2. Step 2: Convert to fraction form
    76,911.66/106,186.14 = 58,972.19/x
  3. Step 3: Cross multiply
    76,911.66x = 106,186.14 × 58,972.19
  4. Step 4: Simplify right side
    76,911.66x = 6,262,028,692.52
  5. Step 5: Solve for x
    x = 6,262,028,692.52/76,911.66
  6. Step 6: Final answer
    x = 81,418.46

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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.