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Finding the Fourth Proportional to 27,740.73, 41,607 and 10,206.48

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Solution

The fourth proportional to 27,740.73, 41,607 and 10,206.48 is: 15,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740.73 : 41,607 = 10,206.48 : x
  2. Step 2: Convert to fraction form
    27,740.73/41,607 = 10,206.48/x
  3. Step 3: Cross multiply
    27,740.73x = 41,607 × 10,206.48
  4. Step 4: Simplify right side
    27,740.73x = 424,661,013.36
  5. Step 5: Solve for x
    x = 424,661,013.36/27,740.73
  6. Step 6: Final answer
    x = 15,308.21

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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.