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Finding the Fourth Proportional to 32,496, 48,745.73 and 10,311.11

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Solution

The fourth proportional to 32,496, 48,745.73 and 10,311.11 is: 15,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,496 : 48,745.73 = 10,311.11 : x
  2. Step 2: Convert to fraction form
    32,496/48,745.73 = 10,311.11/x
  3. Step 3: Cross multiply
    32,496x = 48,745.73 × 10,311.11
  4. Step 4: Simplify right side
    32,496x = 502,622,288.78
  5. Step 5: Solve for x
    x = 502,622,288.78/32,496
  6. Step 6: Final answer
    x = 15,467.20

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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.