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Finding the Fourth Proportional to 103,062.76, 154,586.58 and 32,923.24

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Solution

The fourth proportional to 103,062.76, 154,586.58 and 32,923.24 is: 49,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,062.76 : 154,586.58 = 32,923.24 : x
  2. Step 2: Convert to fraction form
    103,062.76/154,586.58 = 32,923.24/x
  3. Step 3: Cross multiply
    103,062.76x = 154,586.58 × 32,923.24
  4. Step 4: Simplify right side
    103,062.76x = 5,089,491,074.12
  5. Step 5: Solve for x
    x = 5,089,491,074.12/103,062.76
  6. Step 6: Final answer
    x = 49,382.44

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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.