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Finding the Fourth Proportional to 34,253.70, 47,284.64 and 20,829.22

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Solution

The fourth proportional to 34,253.70, 47,284.64 and 20,829.22 is: 28,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,253.70 : 47,284.64 = 20,829.22 : x
  2. Step 2: Convert to fraction form
    34,253.70/47,284.64 = 20,829.22/x
  3. Step 3: Cross multiply
    34,253.70x = 47,284.64 × 20,829.22
  4. Step 4: Simplify right side
    34,253.70x = 984,902,169.18
  5. Step 5: Solve for x
    x = 984,902,169.18/34,253.70
  6. Step 6: Final answer
    x = 28,753.16

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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.