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Finding the Fourth Proportional to 78,208.48, 117,283.36 and 33,831.84

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Solution

The fourth proportional to 78,208.48, 117,283.36 and 33,831.84 is: 50,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,208.48 : 117,283.36 = 33,831.84 : x
  2. Step 2: Convert to fraction form
    78,208.48/117,283.36 = 33,831.84/x
  3. Step 3: Cross multiply
    78,208.48x = 117,283.36 × 33,831.84
  4. Step 4: Simplify right side
    78,208.48x = 3,967,911,870.18
  5. Step 5: Solve for x
    x = 3,967,911,870.18/78,208.48
  6. Step 6: Final answer
    x = 50,735.06

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