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Finding the Fourth Proportional to 32,410.37, 48,615.54 and 7,786.37

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Solution

The fourth proportional to 32,410.37, 48,615.54 and 7,786.37 is: 11,679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410.37 : 48,615.54 = 7,786.37 : x
  2. Step 2: Convert to fraction form
    32,410.37/48,615.54 = 7,786.37/x
  3. Step 3: Cross multiply
    32,410.37x = 48,615.54 × 7,786.37
  4. Step 4: Simplify right side
    32,410.37x = 378,538,339.11
  5. Step 5: Solve for x
    x = 378,538,339.11/32,410.37
  6. Step 6: Final answer
    x = 11,679.55

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Similar ratio
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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.