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Finding the Fourth Proportional to 32,930.56, 49,391.56 and 19,429.48

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Solution

The fourth proportional to 32,930.56, 49,391.56 and 19,429.48 is: 29,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,930.56 : 49,391.56 = 19,429.48 : x
  2. Step 2: Convert to fraction form
    32,930.56/49,391.56 = 19,429.48/x
  3. Step 3: Cross multiply
    32,930.56x = 49,391.56 × 19,429.48
  4. Step 4: Simplify right side
    32,930.56x = 959,652,327.19
  5. Step 5: Solve for x
    x = 959,652,327.19/32,930.56
  6. Step 6: Final answer
    x = 29,141.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.