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Finding the Fourth Proportional to 37,028, 55,537.92 and 9,326

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Solution

The fourth proportional to 37,028, 55,537.92 and 9,326 is: 13,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,028 : 55,537.92 = 9,326 : x
  2. Step 2: Convert to fraction form
    37,028/55,537.92 = 9,326/x
  3. Step 3: Cross multiply
    37,028x = 55,537.92 × 9,326
  4. Step 4: Simplify right side
    37,028x = 517,946,641.92
  5. Step 5: Solve for x
    x = 517,946,641.92/37,028
  6. Step 6: Final answer
    x = 13,987.97

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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.