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Finding the Fourth Proportional to 34,405.71, 47,435.91 and 22,284.79

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Solution

The fourth proportional to 34,405.71, 47,435.91 and 22,284.79 is: 30,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,405.71 : 47,435.91 = 22,284.79 : x
  2. Step 2: Convert to fraction form
    34,405.71/47,435.91 = 22,284.79/x
  3. Step 3: Cross multiply
    34,405.71x = 47,435.91 × 22,284.79
  4. Step 4: Simplify right side
    34,405.71x = 1,057,099,292.81
  5. Step 5: Solve for x
    x = 1,057,099,292.81/34,405.71
  6. Step 6: Final answer
    x = 30,724.53

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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.