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Finding the Fourth Proportional to 34,076.64, 47,028.96 and 19,928.64

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Solution

The fourth proportional to 34,076.64, 47,028.96 and 19,928.64 is: 27,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,076.64 : 47,028.96 = 19,928.64 : x
  2. Step 2: Convert to fraction form
    34,076.64/47,028.96 = 19,928.64/x
  3. Step 3: Cross multiply
    34,076.64x = 47,028.96 × 19,928.64
  4. Step 4: Simplify right side
    34,076.64x = 937,223,213.41
  5. Step 5: Solve for x
    x = 937,223,213.41/34,076.64
  6. Step 6: Final answer
    x = 27,503.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.