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Finding the Fourth Proportional to 32,112.36, 48,173.76 and 9,920.56

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Solution

The fourth proportional to 32,112.36, 48,173.76 and 9,920.56 is: 14,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,112.36 : 48,173.76 = 9,920.56 : x
  2. Step 2: Convert to fraction form
    32,112.36/48,173.76 = 9,920.56/x
  3. Step 3: Cross multiply
    32,112.36x = 48,173.76 × 9,920.56
  4. Step 4: Simplify right side
    32,112.36x = 477,910,676.51
  5. Step 5: Solve for x
    x = 477,910,676.51/32,112.36
  6. Step 6: Final answer
    x = 14,882.45

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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.