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Finding the Fourth Proportional to 37,278.99, 51,448.64 and 27,831.15

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Solution

The fourth proportional to 37,278.99, 51,448.64 and 27,831.15 is: 38,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,278.99 : 51,448.64 = 27,831.15 : x
  2. Step 2: Convert to fraction form
    37,278.99/51,448.64 = 27,831.15/x
  3. Step 3: Cross multiply
    37,278.99x = 51,448.64 × 27,831.15
  4. Step 4: Simplify right side
    37,278.99x = 1,431,874,677.98
  5. Step 5: Solve for x
    x = 1,431,874,677.98/37,278.99
  6. Step 6: Final answer
    x = 38,409.70

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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.