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Finding the Fourth Proportional to 50,877.19, 70,198 and 30,465.96

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Solution

The fourth proportional to 50,877.19, 70,198 and 30,465.96 is: 42,035.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,877.19 : 70,198 = 30,465.96 : x
  2. Step 2: Convert to fraction form
    50,877.19/70,198 = 30,465.96/x
  3. Step 3: Cross multiply
    50,877.19x = 70,198 × 30,465.96
  4. Step 4: Simplify right side
    50,877.19x = 2,138,649,460.08
  5. Step 5: Solve for x
    x = 2,138,649,460.08/50,877.19
  6. Step 6: Final answer
    x = 42,035.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.