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Finding the Fourth Proportional to 70,644.14, 105,965.94 and 18,053.54

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Solution

The fourth proportional to 70,644.14, 105,965.94 and 18,053.54 is: 27,080.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,644.14 : 105,965.94 = 18,053.54 : x
  2. Step 2: Convert to fraction form
    70,644.14/105,965.94 = 18,053.54/x
  3. Step 3: Cross multiply
    70,644.14x = 105,965.94 × 18,053.54
  4. Step 4: Simplify right side
    70,644.14x = 1,913,060,336.43
  5. Step 5: Solve for x
    x = 1,913,060,336.43/70,644.14
  6. Step 6: Final answer
    x = 27,080.24

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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.