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Finding the Fourth Proportional to 37,085.73, 55,628.10 and 9,006

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Solution

The fourth proportional to 37,085.73, 55,628.10 and 9,006 is: 13,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,085.73 : 55,628.10 = 9,006 : x
  2. Step 2: Convert to fraction form
    37,085.73/55,628.10 = 9,006/x
  3. Step 3: Cross multiply
    37,085.73x = 55,628.10 × 9,006
  4. Step 4: Simplify right side
    37,085.73x = 500,986,668.60
  5. Step 5: Solve for x
    x = 500,986,668.60/37,085.73
  6. Step 6: Final answer
    x = 13,508.88

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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.