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Finding the Fourth Proportional to 34,242.84, 47,257.55 and 20,811.48

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Solution

The fourth proportional to 34,242.84, 47,257.55 and 20,811.48 is: 28,721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,242.84 : 47,257.55 = 20,811.48 : x
  2. Step 2: Convert to fraction form
    34,242.84/47,257.55 = 20,811.48/x
  3. Step 3: Cross multiply
    34,242.84x = 47,257.55 × 20,811.48
  4. Step 4: Simplify right side
    34,242.84x = 983,499,452.62
  5. Step 5: Solve for x
    x = 983,499,452.62/34,242.84
  6. Step 6: Final answer
    x = 28,721.32

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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.