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Finding the Fourth Proportional to 30,913.79, 42,648.86 and 20,171.23

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Solution

The fourth proportional to 30,913.79, 42,648.86 and 20,171.23 is: 27,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,913.79 : 42,648.86 = 20,171.23 : x
  2. Step 2: Convert to fraction form
    30,913.79/42,648.86 = 20,171.23/x
  3. Step 3: Cross multiply
    30,913.79x = 42,648.86 × 20,171.23
  4. Step 4: Simplify right side
    30,913.79x = 860,279,908.10
  5. Step 5: Solve for x
    x = 860,279,908.10/30,913.79
  6. Step 6: Final answer
    x = 27,828.36

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