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Finding the Fourth Proportional to 27,735.90, 41,608.01 and 10,204.40

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Solution

The fourth proportional to 27,735.90, 41,608.01 and 10,204.40 is: 15,308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735.90 : 41,608.01 = 10,204.40 : x
  2. Step 2: Convert to fraction form
    27,735.90/41,608.01 = 10,204.40/x
  3. Step 3: Cross multiply
    27,735.90x = 41,608.01 × 10,204.40
  4. Step 4: Simplify right side
    27,735.90x = 424,584,518.18
  5. Step 5: Solve for x
    x = 424,584,518.18/27,735.90
  6. Step 6: Final answer
    x = 15,308.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.