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Finding the Fourth Proportional to 34,090.71, 47,059.74 and 22,919.19

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Solution

The fourth proportional to 34,090.71, 47,059.74 and 22,919.19 is: 31,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,090.71 : 47,059.74 = 22,919.19 : x
  2. Step 2: Convert to fraction form
    34,090.71/47,059.74 = 22,919.19/x
  3. Step 3: Cross multiply
    34,090.71x = 47,059.74 × 22,919.19
  4. Step 4: Simplify right side
    34,090.71x = 1,078,571,122.41
  5. Step 5: Solve for x
    x = 1,078,571,122.41/34,090.71
  6. Step 6: Final answer
    x = 31,638.27

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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.