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Finding the Fourth Proportional to 27,122, 37,417.92 and 17,046.32

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Solution

The fourth proportional to 27,122, 37,417.92 and 17,046.32 is: 23,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122 : 37,417.92 = 17,046.32 : x
  2. Step 2: Convert to fraction form
    27,122/37,417.92 = 17,046.32/x
  3. Step 3: Cross multiply
    27,122x = 37,417.92 × 17,046.32
  4. Step 4: Simplify right side
    27,122x = 637,837,838.05
  5. Step 5: Solve for x
    x = 637,837,838.05/27,122
  6. Step 6: Final answer
    x = 23,517.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.