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Finding the Fourth Proportional to 35,851.44, 53,788.14 and 32,324.97

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Solution

The fourth proportional to 35,851.44, 53,788.14 and 32,324.97 is: 48,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,851.44 : 53,788.14 = 32,324.97 : x
  2. Step 2: Convert to fraction form
    35,851.44/53,788.14 = 32,324.97/x
  3. Step 3: Cross multiply
    35,851.44x = 53,788.14 × 32,324.97
  4. Step 4: Simplify right side
    35,851.44x = 1,738,700,011.86
  5. Step 5: Solve for x
    x = 1,738,700,011.86/35,851.44
  6. Step 6: Final answer
    x = 48,497.35

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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.