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Finding the Fourth Proportional to 29,928.80, 44,893.20 and 19,431.20

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Solution

The fourth proportional to 29,928.80, 44,893.20 and 19,431.20 is: 29,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,928.80 : 44,893.20 = 19,431.20 : x
  2. Step 2: Convert to fraction form
    29,928.80/44,893.20 = 19,431.20/x
  3. Step 3: Cross multiply
    29,928.80x = 44,893.20 × 19,431.20
  4. Step 4: Simplify right side
    29,928.80x = 872,328,747.84
  5. Step 5: Solve for x
    x = 872,328,747.84/29,928.80
  6. Step 6: Final answer
    x = 29,146.80

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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.