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Finding the Fourth Proportional to 37,398.51, 56,087.91 and 11,097

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Solution

The fourth proportional to 37,398.51, 56,087.91 and 11,097 is: 16,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,398.51 : 56,087.91 = 11,097 : x
  2. Step 2: Convert to fraction form
    37,398.51/56,087.91 = 11,097/x
  3. Step 3: Cross multiply
    37,398.51x = 56,087.91 × 11,097
  4. Step 4: Simplify right side
    37,398.51x = 622,407,537.27
  5. Step 5: Solve for x
    x = 622,407,537.27/37,398.51
  6. Step 6: Final answer
    x = 16,642.58

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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.