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Finding the Fourth Proportional to 32,676.48, 45,093.12 and 17,772.48

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Solution

The fourth proportional to 32,676.48, 45,093.12 and 17,772.48 is: 24,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.48 : 45,093.12 = 17,772.48 : x
  2. Step 2: Convert to fraction form
    32,676.48/45,093.12 = 17,772.48/x
  3. Step 3: Cross multiply
    32,676.48x = 45,093.12 × 17,772.48
  4. Step 4: Simplify right side
    32,676.48x = 801,416,573.34
  5. Step 5: Solve for x
    x = 801,416,573.34/32,676.48
  6. Step 6: Final answer
    x = 24,525.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.