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Finding the Fourth Proportional to 33,051.60, 49,650.30 and 31,812.30

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Solution

The fourth proportional to 33,051.60, 49,650.30 and 31,812.30 is: 47,788.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,051.60 : 49,650.30 = 31,812.30 : x
  2. Step 2: Convert to fraction form
    33,051.60/49,650.30 = 31,812.30/x
  3. Step 3: Cross multiply
    33,051.60x = 49,650.30 × 31,812.30
  4. Step 4: Simplify right side
    33,051.60x = 1,579,490,238.69
  5. Step 5: Solve for x
    x = 1,579,490,238.69/33,051.60
  6. Step 6: Final answer
    x = 47,788.62

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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.