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Finding the Fourth Proportional to 75,216, 112,831.49 and 27,843.76

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Solution

The fourth proportional to 75,216, 112,831.49 and 27,843.76 is: 41,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,216 : 112,831.49 = 27,843.76 : x
  2. Step 2: Convert to fraction form
    75,216/112,831.49 = 27,843.76/x
  3. Step 3: Cross multiply
    75,216x = 112,831.49 × 27,843.76
  4. Step 4: Simplify right side
    75,216x = 3,141,652,928.00
  5. Step 5: Solve for x
    x = 3,141,652,928.00/75,216
  6. Step 6: Final answer
    x = 41,768.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.