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Finding the Fourth Proportional to 27,608.36, 41,412.68 and 10,078.16

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Solution

The fourth proportional to 27,608.36, 41,412.68 and 10,078.16 is: 15,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,608.36 : 41,412.68 = 10,078.16 : x
  2. Step 2: Convert to fraction form
    27,608.36/41,412.68 = 10,078.16/x
  3. Step 3: Cross multiply
    27,608.36x = 41,412.68 × 10,078.16
  4. Step 4: Simplify right side
    27,608.36x = 417,363,615.07
  5. Step 5: Solve for x
    x = 417,363,615.07/27,608.36
  6. Step 6: Final answer
    x = 15,117.29

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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.