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Finding the Fourth Proportional to 109,707.30, 164,566.64 and 34,833.30

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Solution

The fourth proportional to 109,707.30, 164,566.64 and 34,833.30 is: 52,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,707.30 : 164,566.64 = 34,833.30 : x
  2. Step 2: Convert to fraction form
    109,707.30/164,566.64 = 34,833.30/x
  3. Step 3: Cross multiply
    109,707.30x = 164,566.64 × 34,833.30
  4. Step 4: Simplify right side
    109,707.30x = 5,732,399,141.11
  5. Step 5: Solve for x
    x = 5,732,399,141.11/109,707.30
  6. Step 6: Final answer
    x = 52,251.76

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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.