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Finding the Fourth Proportional to 35,799.26, 53,694.68 and 9,506.03

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Solution

The fourth proportional to 35,799.26, 53,694.68 and 9,506.03 is: 14,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,799.26 : 53,694.68 = 9,506.03 : x
  2. Step 2: Convert to fraction form
    35,799.26/53,694.68 = 9,506.03/x
  3. Step 3: Cross multiply
    35,799.26x = 53,694.68 × 9,506.03
  4. Step 4: Simplify right side
    35,799.26x = 510,422,922.92
  5. Step 5: Solve for x
    x = 510,422,922.92/35,799.26
  6. Step 6: Final answer
    x = 14,257.92

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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.