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Finding the Fourth Proportional to 32,433.69, 48,650.24 and 10,247.06

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Solution

The fourth proportional to 32,433.69, 48,650.24 and 10,247.06 is: 15,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,433.69 : 48,650.24 = 10,247.06 : x
  2. Step 2: Convert to fraction form
    32,433.69/48,650.24 = 10,247.06/x
  3. Step 3: Cross multiply
    32,433.69x = 48,650.24 × 10,247.06
  4. Step 4: Simplify right side
    32,433.69x = 498,522,075.54
  5. Step 5: Solve for x
    x = 498,522,075.54/32,433.69
  6. Step 6: Final answer
    x = 15,370.50

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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.