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Finding the Fourth Proportional to 32,163.74, 48,250.28 and 9,978.88

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Solution

The fourth proportional to 32,163.74, 48,250.28 and 9,978.88 is: 14,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,163.74 : 48,250.28 = 9,978.88 : x
  2. Step 2: Convert to fraction form
    32,163.74/48,250.28 = 9,978.88/x
  3. Step 3: Cross multiply
    32,163.74x = 48,250.28 × 9,978.88
  4. Step 4: Simplify right side
    32,163.74x = 481,483,754.09
  5. Step 5: Solve for x
    x = 481,483,754.09/32,163.74
  6. Step 6: Final answer
    x = 14,969.77

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1.5x scale

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.