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Finding the Fourth Proportional to 102,651.40, 153,975.42 and 32,530.60

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Solution

The fourth proportional to 102,651.40, 153,975.42 and 32,530.60 is: 48,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,651.40 : 153,975.42 = 32,530.60 : x
  2. Step 2: Convert to fraction form
    102,651.40/153,975.42 = 32,530.60/x
  3. Step 3: Cross multiply
    102,651.40x = 153,975.42 × 32,530.60
  4. Step 4: Simplify right side
    102,651.40x = 5,008,912,797.85
  5. Step 5: Solve for x
    x = 5,008,912,797.85/102,651.40
  6. Step 6: Final answer
    x = 48,795.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.