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Finding the Fourth Proportional to 33,903.88, 46,742.34 and 27,831.88

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Solution

The fourth proportional to 33,903.88, 46,742.34 and 27,831.88 is: 38,371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,903.88 : 46,742.34 = 27,831.88 : x
  2. Step 2: Convert to fraction form
    33,903.88/46,742.34 = 27,831.88/x
  3. Step 3: Cross multiply
    33,903.88x = 46,742.34 × 27,831.88
  4. Step 4: Simplify right side
    33,903.88x = 1,300,927,197.80
  5. Step 5: Solve for x
    x = 1,300,927,197.80/33,903.88
  6. Step 6: Final answer
    x = 38,371.04

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Why These Related Problems?

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