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Finding the Fourth Proportional to 34,102.74, 47,069.02 and 22,918.26

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Solution

The fourth proportional to 34,102.74, 47,069.02 and 22,918.26 is: 31,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102.74 : 47,069.02 = 22,918.26 : x
  2. Step 2: Convert to fraction form
    34,102.74/47,069.02 = 22,918.26/x
  3. Step 3: Cross multiply
    34,102.74x = 47,069.02 × 22,918.26
  4. Step 4: Simplify right side
    34,102.74x = 1,078,740,038.31
  5. Step 5: Solve for x
    x = 1,078,740,038.31/34,102.74
  6. Step 6: Final answer
    x = 31,632.06

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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.