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Finding the Fourth Proportional to 78,262.56, 117,303.84 and 33,844.68

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Solution

The fourth proportional to 78,262.56, 117,303.84 and 33,844.68 is: 50,728.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,262.56 : 117,303.84 = 33,844.68 : x
  2. Step 2: Convert to fraction form
    78,262.56/117,303.84 = 33,844.68/x
  3. Step 3: Cross multiply
    78,262.56x = 117,303.84 × 33,844.68
  4. Step 4: Simplify right side
    78,262.56x = 3,970,110,927.57
  5. Step 5: Solve for x
    x = 3,970,110,927.57/78,262.56
  6. Step 6: Final answer
    x = 50,728.10

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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.