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Finding the Fourth Proportional to 27,754.99, 41,634.74 and 9,030.02

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Solution

The fourth proportional to 27,754.99, 41,634.74 and 9,030.02 is: 13,545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,754.99 : 41,634.74 = 9,030.02 : x
  2. Step 2: Convert to fraction form
    27,754.99/41,634.74 = 9,030.02/x
  3. Step 3: Cross multiply
    27,754.99x = 41,634.74 × 9,030.02
  4. Step 4: Simplify right side
    27,754.99x = 375,962,349.30
  5. Step 5: Solve for x
    x = 375,962,349.30/27,754.99
  6. Step 6: Final answer
    x = 13,545.76

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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.