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Finding the Fourth Proportional to 35,857.50, 53,805.69 and 17,389.50

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Solution

The fourth proportional to 35,857.50, 53,805.69 and 17,389.50 is: 26,093.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,857.50 : 53,805.69 = 17,389.50 : x
  2. Step 2: Convert to fraction form
    35,857.50/53,805.69 = 17,389.50/x
  3. Step 3: Cross multiply
    35,857.50x = 53,805.69 × 17,389.50
  4. Step 4: Simplify right side
    35,857.50x = 935,654,046.26
  5. Step 5: Solve for x
    x = 935,654,046.26/35,857.50
  6. Step 6: Final answer
    x = 26,093.68

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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.