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Finding the Fourth Proportional to 32,564.44, 48,846.48 and 9,190.78

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Solution

The fourth proportional to 32,564.44, 48,846.48 and 9,190.78 is: 13,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564.44 : 48,846.48 = 9,190.78 : x
  2. Step 2: Convert to fraction form
    32,564.44/48,846.48 = 9,190.78/x
  3. Step 3: Cross multiply
    32,564.44x = 48,846.48 × 9,190.78
  4. Step 4: Simplify right side
    32,564.44x = 448,937,251.45
  5. Step 5: Solve for x
    x = 448,937,251.45/32,564.44
  6. Step 6: Final answer
    x = 13,786.12

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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.