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Finding the Fourth Proportional to 35,208, 52,814.56 and 11,833.92

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Solution

The fourth proportional to 35,208, 52,814.56 and 11,833.92 is: 17,751.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,208 : 52,814.56 = 11,833.92 : x
  2. Step 2: Convert to fraction form
    35,208/52,814.56 = 11,833.92/x
  3. Step 3: Cross multiply
    35,208x = 52,814.56 × 11,833.92
  4. Step 4: Simplify right side
    35,208x = 625,003,277.88
  5. Step 5: Solve for x
    x = 625,003,277.88/35,208
  6. Step 6: Final answer
    x = 17,751.74

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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.