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Finding the Fourth Proportional to 32,912.16, 49,115.16 and 29,412.96

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Solution

The fourth proportional to 32,912.16, 49,115.16 and 29,412.96 is: 43,893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,912.16 : 49,115.16 = 29,412.96 : x
  2. Step 2: Convert to fraction form
    32,912.16/49,115.16 = 29,412.96/x
  3. Step 3: Cross multiply
    32,912.16x = 49,115.16 × 29,412.96
  4. Step 4: Simplify right side
    32,912.16x = 1,444,622,236.47
  5. Step 5: Solve for x
    x = 1,444,622,236.47/32,912.16
  6. Step 6: Final answer
    x = 43,893.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.