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Finding the Fourth Proportional to 27,191.81, 40,802.57 and 10,552.49

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Solution

The fourth proportional to 27,191.81, 40,802.57 and 10,552.49 is: 15,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,191.81 : 40,802.57 = 10,552.49 : x
  2. Step 2: Convert to fraction form
    27,191.81/40,802.57 = 10,552.49/x
  3. Step 3: Cross multiply
    27,191.81x = 40,802.57 × 10,552.49
  4. Step 4: Simplify right side
    27,191.81x = 430,568,711.90
  5. Step 5: Solve for x
    x = 430,568,711.90/27,191.81
  6. Step 6: Final answer
    x = 15,834.50

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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.