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Finding the Fourth Proportional to 34,864.63, 52,486.66 and 31,764.56

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Solution

The fourth proportional to 34,864.63, 52,486.66 and 31,764.56 is: 47,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,864.63 : 52,486.66 = 31,764.56 : x
  2. Step 2: Convert to fraction form
    34,864.63/52,486.66 = 31,764.56/x
  3. Step 3: Cross multiply
    34,864.63x = 52,486.66 × 31,764.56
  4. Step 4: Simplify right side
    34,864.63x = 1,667,215,239.51
  5. Step 5: Solve for x
    x = 1,667,215,239.51/34,864.63
  6. Step 6: Final answer
    x = 47,819.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.