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Finding the Fourth Proportional to 70,541.69, 105,811.16 and 17,234.02

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Solution

The fourth proportional to 70,541.69, 105,811.16 and 17,234.02 is: 25,850.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,541.69 : 105,811.16 = 17,234.02 : x
  2. Step 2: Convert to fraction form
    70,541.69/105,811.16 = 17,234.02/x
  3. Step 3: Cross multiply
    70,541.69x = 105,811.16 × 17,234.02
  4. Step 4: Simplify right side
    70,541.69x = 1,823,551,195.51
  5. Step 5: Solve for x
    x = 1,823,551,195.51/70,541.69
  6. Step 6: Final answer
    x = 25,850.69

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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.