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Finding the Fourth Proportional to 29,510.69, 44,265.97 and 9,249

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Solution

The fourth proportional to 29,510.69, 44,265.97 and 9,249 is: 13,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,510.69 : 44,265.97 = 9,249 : x
  2. Step 2: Convert to fraction form
    29,510.69/44,265.97 = 9,249/x
  3. Step 3: Cross multiply
    29,510.69x = 44,265.97 × 9,249
  4. Step 4: Simplify right side
    29,510.69x = 409,415,933.41
  5. Step 5: Solve for x
    x = 409,415,933.41/29,510.69
  6. Step 6: Final answer
    x = 13,873.48

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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.