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Finding the Fourth Proportional to 78,298.08, 117,465.06 and 33,932.28

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Solution

The fourth proportional to 78,298.08, 117,465.06 and 33,932.28 is: 50,906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,298.08 : 117,465.06 = 33,932.28 : x
  2. Step 2: Convert to fraction form
    78,298.08/117,465.06 = 33,932.28/x
  3. Step 3: Cross multiply
    78,298.08x = 117,465.06 × 33,932.28
  4. Step 4: Simplify right side
    78,298.08x = 3,985,857,306.14
  5. Step 5: Solve for x
    x = 3,985,857,306.14/78,298.08
  6. Step 6: Final answer
    x = 50,906.19

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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.