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Finding the Fourth Proportional to 29,838.90, 44,741.31 and 12,287.82

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Solution

The fourth proportional to 29,838.90, 44,741.31 and 12,287.82 is: 18,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.90 : 44,741.31 = 12,287.82 : x
  2. Step 2: Convert to fraction form
    29,838.90/44,741.31 = 12,287.82/x
  3. Step 3: Cross multiply
    29,838.90x = 44,741.31 × 12,287.82
  4. Step 4: Simplify right side
    29,838.90x = 549,773,163.84
  5. Step 5: Solve for x
    x = 549,773,163.84/29,838.90
  6. Step 6: Final answer
    x = 18,424.71

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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.