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Finding the Fourth Proportional to 75,298.50, 112,906.51 and 34,727.98

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Solution

The fourth proportional to 75,298.50, 112,906.51 and 34,727.98 is: 52,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,298.50 : 112,906.51 = 34,727.98 : x
  2. Step 2: Convert to fraction form
    75,298.50/112,906.51 = 34,727.98/x
  3. Step 3: Cross multiply
    75,298.50x = 112,906.51 × 34,727.98
  4. Step 4: Simplify right side
    75,298.50x = 3,921,015,021.15
  5. Step 5: Solve for x
    x = 3,921,015,021.15/75,298.50
  6. Step 6: Final answer
    x = 52,072.95

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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.