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Finding the Fourth Proportional to 109,706.30, 164,565.14 and 34,832.30

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Solution

The fourth proportional to 109,706.30, 164,565.14 and 34,832.30 is: 52,250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,706.30 : 164,565.14 = 34,832.30 : x
  2. Step 2: Convert to fraction form
    109,706.30/164,565.14 = 34,832.30/x
  3. Step 3: Cross multiply
    109,706.30x = 164,565.14 × 34,832.30
  4. Step 4: Simplify right side
    109,706.30x = 5,732,183,011.45
  5. Step 5: Solve for x
    x = 5,732,183,011.45/109,706.30
  6. Step 6: Final answer
    x = 52,250.26

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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.