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Finding the Fourth Proportional to 77,105.32, 106,454.34 and 59,166.28

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Solution

The fourth proportional to 77,105.32, 106,454.34 and 59,166.28 is: 81,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,105.32 : 106,454.34 = 59,166.28 : x
  2. Step 2: Convert to fraction form
    77,105.32/106,454.34 = 59,166.28/x
  3. Step 3: Cross multiply
    77,105.32x = 106,454.34 × 59,166.28
  4. Step 4: Simplify right side
    77,105.32x = 6,298,507,287.66
  5. Step 5: Solve for x
    x = 6,298,507,287.66/77,105.32
  6. Step 6: Final answer
    x = 81,687.07

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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.