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Finding the Fourth Proportional to 27,794.16, 41,685.68 and 10,024.34

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Solution

The fourth proportional to 27,794.16, 41,685.68 and 10,024.34 is: 15,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.16 : 41,685.68 = 10,024.34 : x
  2. Step 2: Convert to fraction form
    27,794.16/41,685.68 = 10,024.34/x
  3. Step 3: Cross multiply
    27,794.16x = 41,685.68 × 10,024.34
  4. Step 4: Simplify right side
    27,794.16x = 417,871,170.90
  5. Step 5: Solve for x
    x = 417,871,170.90/27,794.16
  6. Step 6: Final answer
    x = 15,034.50

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Why These Related Problems?

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