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Finding the Fourth Proportional to 32,351.78, 44,669.78 and 31,835.10

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Solution

The fourth proportional to 32,351.78, 44,669.78 and 31,835.10 is: 43,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,351.78 : 44,669.78 = 31,835.10 : x
  2. Step 2: Convert to fraction form
    32,351.78/44,669.78 = 31,835.10/x
  3. Step 3: Cross multiply
    32,351.78x = 44,669.78 × 31,835.10
  4. Step 4: Simplify right side
    32,351.78x = 1,422,066,754.10
  5. Step 5: Solve for x
    x = 1,422,066,754.10/32,351.78
  6. Step 6: Final answer
    x = 43,956.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.