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Finding the Fourth Proportional to 52,055.82, 78,408 and 48,405.96

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Solution

The fourth proportional to 52,055.82, 78,408 and 48,405.96 is: 72,910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,055.82 : 78,408 = 48,405.96 : x
  2. Step 2: Convert to fraction form
    52,055.82/78,408 = 48,405.96/x
  3. Step 3: Cross multiply
    52,055.82x = 78,408 × 48,405.96
  4. Step 4: Simplify right side
    52,055.82x = 3,795,414,511.68
  5. Step 5: Solve for x
    x = 3,795,414,511.68/52,055.82
  6. Step 6: Final answer
    x = 72,910.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.