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Finding the Fourth Proportional to 109,517.51, 164,296.55 and 34,656.50

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Solution

The fourth proportional to 109,517.51, 164,296.55 and 34,656.50 is: 51,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,517.51 : 164,296.55 = 34,656.50 : x
  2. Step 2: Convert to fraction form
    109,517.51/164,296.55 = 34,656.50/x
  3. Step 3: Cross multiply
    109,517.51x = 164,296.55 × 34,656.50
  4. Step 4: Simplify right side
    109,517.51x = 5,693,943,211.79
  5. Step 5: Solve for x
    x = 5,693,943,211.79/109,517.51
  6. Step 6: Final answer
    x = 51,991.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.