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Finding the Fourth Proportional to 109,512.51, 164,289.04 and 34,651.50

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Solution

The fourth proportional to 109,512.51, 164,289.04 and 34,651.50 is: 51,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,512.51 : 164,289.04 = 34,651.50 : x
  2. Step 2: Convert to fraction form
    109,512.51/164,289.04 = 34,651.50/x
  3. Step 3: Cross multiply
    109,512.51x = 164,289.04 × 34,651.50
  4. Step 4: Simplify right side
    109,512.51x = 5,692,861,582.93
  5. Step 5: Solve for x
    x = 5,692,861,582.93/109,512.51
  6. Step 6: Final answer
    x = 51,983.66

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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.