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Finding the Fourth Proportional to 70,474.61, 105,711.84 and 17,166.56

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Solution

The fourth proportional to 70,474.61, 105,711.84 and 17,166.56 is: 25,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,474.61 : 105,711.84 = 17,166.56 : x
  2. Step 2: Convert to fraction form
    70,474.61/105,711.84 = 17,166.56/x
  3. Step 3: Cross multiply
    70,474.61x = 105,711.84 × 17,166.56
  4. Step 4: Simplify right side
    70,474.61x = 1,814,708,644.07
  5. Step 5: Solve for x
    x = 1,814,708,644.07/70,474.61
  6. Step 6: Final answer
    x = 25,749.82

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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.