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Finding the Fourth Proportional to 35,952.84, 53,940.48 and 32,231.64

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Solution

The fourth proportional to 35,952.84, 53,940.48 and 32,231.64 is: 48,357.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,952.84 : 53,940.48 = 32,231.64 : x
  2. Step 2: Convert to fraction form
    35,952.84/53,940.48 = 32,231.64/x
  3. Step 3: Cross multiply
    35,952.84x = 53,940.48 × 32,231.64
  4. Step 4: Simplify right side
    35,952.84x = 1,738,590,132.79
  5. Step 5: Solve for x
    x = 1,738,590,132.79/35,952.84
  6. Step 6: Final answer
    x = 48,357.52

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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.