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Finding the Fourth Proportional to 35,857, 53,804.94 and 17,389

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Solution

The fourth proportional to 35,857, 53,804.94 and 17,389 is: 26,092.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,857 : 53,804.94 = 17,389 : x
  2. Step 2: Convert to fraction form
    35,857/53,804.94 = 17,389/x
  3. Step 3: Cross multiply
    35,857x = 53,804.94 × 17,389
  4. Step 4: Simplify right side
    35,857x = 935,614,101.66
  5. Step 5: Solve for x
    x = 935,614,101.66/35,857
  6. Step 6: Final answer
    x = 26,092.93

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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.