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Finding the Fourth Proportional to 105,803.64, 158,717.50 and 38,367.44

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Solution

The fourth proportional to 105,803.64, 158,717.50 and 38,367.44 is: 57,555.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,803.64 : 158,717.50 = 38,367.44 : x
  2. Step 2: Convert to fraction form
    105,803.64/158,717.50 = 38,367.44/x
  3. Step 3: Cross multiply
    105,803.64x = 158,717.50 × 38,367.44
  4. Step 4: Simplify right side
    105,803.64x = 6,089,584,158.20
  5. Step 5: Solve for x
    x = 6,089,584,158.20/105,803.64
  6. Step 6: Final answer
    x = 57,555.53

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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.