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Finding the Fourth Proportional to 29,693.58, 40,975.94 and 17,754.58

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Solution

The fourth proportional to 29,693.58, 40,975.94 and 17,754.58 is: 24,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,693.58 : 40,975.94 = 17,754.58 : x
  2. Step 2: Convert to fraction form
    29,693.58/40,975.94 = 17,754.58/x
  3. Step 3: Cross multiply
    29,693.58x = 40,975.94 × 17,754.58
  4. Step 4: Simplify right side
    29,693.58x = 727,510,604.81
  5. Step 5: Solve for x
    x = 727,510,604.81/29,693.58
  6. Step 6: Final answer
    x = 24,500.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.