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Finding the Fourth Proportional to 35,883, 53,833.20 and 11,259

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Solution

The fourth proportional to 35,883, 53,833.20 and 11,259 is: 16,891.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,883 : 53,833.20 = 11,259 : x
  2. Step 2: Convert to fraction form
    35,883/53,833.20 = 11,259/x
  3. Step 3: Cross multiply
    35,883x = 53,833.20 × 11,259
  4. Step 4: Simplify right side
    35,883x = 606,107,998.80
  5. Step 5: Solve for x
    x = 606,107,998.80/35,883
  6. Step 6: Final answer
    x = 16,891.23

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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.