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Finding the Fourth Proportional to 35,882.97, 53,849.06 and 12,509.41

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Solution

The fourth proportional to 35,882.97, 53,849.06 and 12,509.41 is: 18,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882.97 : 53,849.06 = 12,509.41 : x
  2. Step 2: Convert to fraction form
    35,882.97/53,849.06 = 12,509.41/x
  3. Step 3: Cross multiply
    35,882.97x = 53,849.06 × 12,509.41
  4. Step 4: Simplify right side
    35,882.97x = 673,619,969.65
  5. Step 5: Solve for x
    x = 673,619,969.65/35,882.97
  6. Step 6: Final answer
    x = 18,772.69

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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.