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Finding the Fourth Proportional to 34,657.44, 47,839.52 and 20,510.25

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Solution

The fourth proportional to 34,657.44, 47,839.52 and 20,510.25 is: 28,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657.44 : 47,839.52 = 20,510.25 : x
  2. Step 2: Convert to fraction form
    34,657.44/47,839.52 = 20,510.25/x
  3. Step 3: Cross multiply
    34,657.44x = 47,839.52 × 20,510.25
  4. Step 4: Simplify right side
    34,657.44x = 981,200,566.36
  5. Step 5: Solve for x
    x = 981,200,566.36/34,657.44
  6. Step 6: Final answer
    x = 28,311.40

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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.