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Finding the Fourth Proportional to 41,849.28, 62,774.03 and 10,259.48

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Solution

The fourth proportional to 41,849.28, 62,774.03 and 10,259.48 is: 15,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,849.28 : 62,774.03 = 10,259.48 : x
  2. Step 2: Convert to fraction form
    41,849.28/62,774.03 = 10,259.48/x
  3. Step 3: Cross multiply
    41,849.28x = 62,774.03 × 10,259.48
  4. Step 4: Simplify right side
    41,849.28x = 644,029,087.89
  5. Step 5: Solve for x
    x = 644,029,087.89/41,849.28
  6. Step 6: Final answer
    x = 15,389.25

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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.