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Finding the Fourth Proportional to 27,190.44, 40,782 and 10,549

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Solution

The fourth proportional to 27,190.44, 40,782 and 10,549 is: 15,822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,190.44 : 40,782 = 10,549 : x
  2. Step 2: Convert to fraction form
    27,190.44/40,782 = 10,549/x
  3. Step 3: Cross multiply
    27,190.44x = 40,782 × 10,549
  4. Step 4: Simplify right side
    27,190.44x = 430,209,318
  5. Step 5: Solve for x
    x = 430,209,318/27,190.44
  6. Step 6: Final answer
    x = 15,822.08

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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.