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Finding the Fourth Proportional to 49,152, 67,831.36 and 26,797.44

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Solution

The fourth proportional to 49,152, 67,831.36 and 26,797.44 is: 36,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,152 : 67,831.36 = 26,797.44 : x
  2. Step 2: Convert to fraction form
    49,152/67,831.36 = 26,797.44/x
  3. Step 3: Cross multiply
    49,152x = 67,831.36 × 26,797.44
  4. Step 4: Simplify right side
    49,152x = 1,817,706,799.72
  5. Step 5: Solve for x
    x = 1,817,706,799.72/49,152
  6. Step 6: Final answer
    x = 36,981.34

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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.