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Finding the Fourth Proportional to 32,506.20, 48,651.30 and 23,596.20

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Solution

The fourth proportional to 32,506.20, 48,651.30 and 23,596.20 is: 35,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506.20 : 48,651.30 = 23,596.20 : x
  2. Step 2: Convert to fraction form
    32,506.20/48,651.30 = 23,596.20/x
  3. Step 3: Cross multiply
    32,506.20x = 48,651.30 × 23,596.20
  4. Step 4: Simplify right side
    32,506.20x = 1,147,985,805.06
  5. Step 5: Solve for x
    x = 1,147,985,805.06/32,506.20
  6. Step 6: Final answer
    x = 35,315.90

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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.