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Finding the Fourth Proportional to 32,453.34, 48,680.01 and 11,676.30

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Solution

The fourth proportional to 32,453.34, 48,680.01 and 11,676.30 is: 17,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,453.34 : 48,680.01 = 11,676.30 : x
  2. Step 2: Convert to fraction form
    32,453.34/48,680.01 = 11,676.30/x
  3. Step 3: Cross multiply
    32,453.34x = 48,680.01 × 11,676.30
  4. Step 4: Simplify right side
    32,453.34x = 568,402,400.76
  5. Step 5: Solve for x
    x = 568,402,400.76/32,453.34
  6. Step 6: Final answer
    x = 17,514.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.