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Finding the Fourth Proportional to 27,447.84, 41,102.10 and 24,920.51

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Solution

The fourth proportional to 27,447.84, 41,102.10 and 24,920.51 is: 37,317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,447.84 : 41,102.10 = 24,920.51 : x
  2. Step 2: Convert to fraction form
    27,447.84/41,102.10 = 24,920.51/x
  3. Step 3: Cross multiply
    27,447.84x = 41,102.10 × 24,920.51
  4. Step 4: Simplify right side
    27,447.84x = 1,024,285,088.56
  5. Step 5: Solve for x
    x = 1,024,285,088.56/27,447.84
  6. Step 6: Final answer
    x = 37,317.51

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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.