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Finding the Fourth Proportional to 109,778.32, 164,652.90 and 30,899.31

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Solution

The fourth proportional to 109,778.32, 164,652.90 and 30,899.31 is: 46,344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,778.32 : 164,652.90 = 30,899.31 : x
  2. Step 2: Convert to fraction form
    109,778.32/164,652.90 = 30,899.31/x
  3. Step 3: Cross multiply
    109,778.32x = 164,652.90 × 30,899.31
  4. Step 4: Simplify right side
    109,778.32x = 5,087,660,999.50
  5. Step 5: Solve for x
    x = 5,087,660,999.50/109,778.32
  6. Step 6: Final answer
    x = 46,344.86

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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.