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Finding the Fourth Proportional to 70,474.37, 105,710.13 and 17,166.65

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Solution

The fourth proportional to 70,474.37, 105,710.13 and 17,166.65 is: 25,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,474.37 : 105,710.13 = 17,166.65 : x
  2. Step 2: Convert to fraction form
    70,474.37/105,710.13 = 17,166.65/x
  3. Step 3: Cross multiply
    70,474.37x = 105,710.13 × 17,166.65
  4. Step 4: Simplify right side
    70,474.37x = 1,814,688,274.61
  5. Step 5: Solve for x
    x = 1,814,688,274.61/70,474.37
  6. Step 6: Final answer
    x = 25,749.62

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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.