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Finding the Fourth Proportional to 102,650.90, 153,974.67 and 32,530.10

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Solution

The fourth proportional to 102,650.90, 153,974.67 and 32,530.10 is: 48,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,650.90 : 153,974.67 = 32,530.10 : x
  2. Step 2: Convert to fraction form
    102,650.90/153,974.67 = 32,530.10/x
  3. Step 3: Cross multiply
    102,650.90x = 153,974.67 × 32,530.10
  4. Step 4: Simplify right side
    102,650.90x = 5,008,811,412.57
  5. Step 5: Solve for x
    x = 5,008,811,412.57/102,650.90
  6. Step 6: Final answer
    x = 48,794.62

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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.