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Finding the Fourth Proportional to 29,706.25, 44,559.38 and 12,164.08

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Solution

The fourth proportional to 29,706.25, 44,559.38 and 12,164.08 is: 18,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.25 : 44,559.38 = 12,164.08 : x
  2. Step 2: Convert to fraction form
    29,706.25/44,559.38 = 12,164.08/x
  3. Step 3: Cross multiply
    29,706.25x = 44,559.38 × 12,164.08
  4. Step 4: Simplify right side
    29,706.25x = 542,023,863.07
  5. Step 5: Solve for x
    x = 542,023,863.07/29,706.25
  6. Step 6: Final answer
    x = 18,246.12

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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.