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Finding the Fourth Proportional to 70,406.15, 105,608.24 and 17,098.49

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Solution

The fourth proportional to 70,406.15, 105,608.24 and 17,098.49 is: 25,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,406.15 : 105,608.24 = 17,098.49 : x
  2. Step 2: Convert to fraction form
    70,406.15/105,608.24 = 17,098.49/x
  3. Step 3: Cross multiply
    70,406.15x = 105,608.24 × 17,098.49
  4. Step 4: Simplify right side
    70,406.15x = 1,805,741,678.21
  5. Step 5: Solve for x
    x = 1,805,741,678.21/70,406.15
  6. Step 6: Final answer
    x = 25,647.50

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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.