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Finding the Fourth Proportional to 32,022.78, 48,036.48 and 12,301.34

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Solution

The fourth proportional to 32,022.78, 48,036.48 and 12,301.34 is: 18,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022.78 : 48,036.48 = 12,301.34 : x
  2. Step 2: Convert to fraction form
    32,022.78/48,036.48 = 12,301.34/x
  3. Step 3: Cross multiply
    32,022.78x = 48,036.48 × 12,301.34
  4. Step 4: Simplify right side
    32,022.78x = 590,912,832.70
  5. Step 5: Solve for x
    x = 590,912,832.70/32,022.78
  6. Step 6: Final answer
    x = 18,452.89

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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.