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Finding the Fourth Proportional to 85,912.15, 128,837.32 and 29,737

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Solution

The fourth proportional to 85,912.15, 128,837.32 and 29,737 is: 44,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,912.15 : 128,837.32 = 29,737 : x
  2. Step 2: Convert to fraction form
    85,912.15/128,837.32 = 29,737/x
  3. Step 3: Cross multiply
    85,912.15x = 128,837.32 × 29,737
  4. Step 4: Simplify right side
    85,912.15x = 3,831,235,384.84
  5. Step 5: Solve for x
    x = 3,831,235,384.84/85,912.15
  6. Step 6: Final answer
    x = 44,594.80

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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.