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Finding the Fourth Proportional to 29,408.47, 44,108.96 and 9,682.13

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Solution

The fourth proportional to 29,408.47, 44,108.96 and 9,682.13 is: 14,521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,408.47 : 44,108.96 = 9,682.13 : x
  2. Step 2: Convert to fraction form
    29,408.47/44,108.96 = 9,682.13/x
  3. Step 3: Cross multiply
    29,408.47x = 44,108.96 × 9,682.13
  4. Step 4: Simplify right side
    29,408.47x = 427,068,746.75
  5. Step 5: Solve for x
    x = 427,068,746.75/29,408.47
  6. Step 6: Final answer
    x = 14,521.97

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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.