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Finding the Fourth Proportional to 105,797.71, 158,695.83 and 26,911.24

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Solution

The fourth proportional to 105,797.71, 158,695.83 and 26,911.24 is: 40,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,797.71 : 158,695.83 = 26,911.24 : x
  2. Step 2: Convert to fraction form
    105,797.71/158,695.83 = 26,911.24/x
  3. Step 3: Cross multiply
    105,797.71x = 158,695.83 × 26,911.24
  4. Step 4: Simplify right side
    105,797.71x = 4,270,701,568.13
  5. Step 5: Solve for x
    x = 4,270,701,568.13/105,797.71
  6. Step 6: Final answer
    x = 40,366.67

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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.