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Finding the Fourth Proportional to 27,476.84, 41,148 and 24,814.44

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Solution

The fourth proportional to 27,476.84, 41,148 and 24,814.44 is: 37,160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,476.84 : 41,148 = 24,814.44 : x
  2. Step 2: Convert to fraction form
    27,476.84/41,148 = 24,814.44/x
  3. Step 3: Cross multiply
    27,476.84x = 41,148 × 24,814.44
  4. Step 4: Simplify right side
    27,476.84x = 1,021,064,577.12
  5. Step 5: Solve for x
    x = 1,021,064,577.12/27,476.84
  6. Step 6: Final answer
    x = 37,160.92

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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.