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Finding the Fourth Proportional to 27,037.26, 40,549.38 and 7,315.98

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Solution

The fourth proportional to 27,037.26, 40,549.38 and 7,315.98 is: 10,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,037.26 : 40,549.38 = 7,315.98 : x
  2. Step 2: Convert to fraction form
    27,037.26/40,549.38 = 7,315.98/x
  3. Step 3: Cross multiply
    27,037.26x = 40,549.38 × 7,315.98
  4. Step 4: Simplify right side
    27,037.26x = 296,658,453.09
  5. Step 5: Solve for x
    x = 296,658,453.09/27,037.26
  6. Step 6: Final answer
    x = 10,972.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.