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Finding the Fourth Proportional to 27,300.14, 40,950.22 and 7,578.69

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Solution

The fourth proportional to 27,300.14, 40,950.22 and 7,578.69 is: 11,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300.14 : 40,950.22 = 7,578.69 : x
  2. Step 2: Convert to fraction form
    27,300.14/40,950.22 = 7,578.69/x
  3. Step 3: Cross multiply
    27,300.14x = 40,950.22 × 7,578.69
  4. Step 4: Simplify right side
    27,300.14x = 310,349,022.81
  5. Step 5: Solve for x
    x = 310,349,022.81/27,300.14
  6. Step 6: Final answer
    x = 11,368.04

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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.