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Finding the Fourth Proportional to 34,257.59, 47,283.10 and 20,826

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Solution

The fourth proportional to 34,257.59, 47,283.10 and 20,826 is: 28,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,257.59 : 47,283.10 = 20,826 : x
  2. Step 2: Convert to fraction form
    34,257.59/47,283.10 = 20,826/x
  3. Step 3: Cross multiply
    34,257.59x = 47,283.10 × 20,826
  4. Step 4: Simplify right side
    34,257.59x = 984,717,840.60
  5. Step 5: Solve for x
    x = 984,717,840.60/34,257.59
  6. Step 6: Final answer
    x = 28,744.52

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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.