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Finding the Fourth Proportional to 29,926.38, 44,886.13 and 7,738.05

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Solution

The fourth proportional to 29,926.38, 44,886.13 and 7,738.05 is: 11,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,926.38 : 44,886.13 = 7,738.05 : x
  2. Step 2: Convert to fraction form
    29,926.38/44,886.13 = 7,738.05/x
  3. Step 3: Cross multiply
    29,926.38x = 44,886.13 × 7,738.05
  4. Step 4: Simplify right side
    29,926.38x = 347,331,118.25
  5. Step 5: Solve for x
    x = 347,331,118.25/29,926.38
  6. Step 6: Final answer
    x = 11,606.19

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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.