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Finding the Fourth Proportional to 78,053.09, 117,126.35 and 33,679.84

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Solution

The fourth proportional to 78,053.09, 117,126.35 and 33,679.84 is: 50,539.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,053.09 : 117,126.35 = 33,679.84 : x
  2. Step 2: Convert to fraction form
    78,053.09/117,126.35 = 33,679.84/x
  3. Step 3: Cross multiply
    78,053.09x = 117,126.35 × 33,679.84
  4. Step 4: Simplify right side
    78,053.09x = 3,944,797,165.28
  5. Step 5: Solve for x
    x = 3,944,797,165.28/78,053.09
  6. Step 6: Final answer
    x = 50,539.92

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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.