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Finding the Fourth Proportional to 27,289.84, 37,569 and 26,035.96

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Solution

The fourth proportional to 27,289.84, 37,569 and 26,035.96 is: 35,842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,289.84 : 37,569 = 26,035.96 : x
  2. Step 2: Convert to fraction form
    27,289.84/37,569 = 26,035.96/x
  3. Step 3: Cross multiply
    27,289.84x = 37,569 × 26,035.96
  4. Step 4: Simplify right side
    27,289.84x = 978,144,981.24
  5. Step 5: Solve for x
    x = 978,144,981.24/27,289.84
  6. Step 6: Final answer
    x = 35,842.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.