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Finding the Fourth Proportional to 50,846, 70,167.50 and 30,974

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Solution

The fourth proportional to 50,846, 70,167.50 and 30,974 is: 42,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,846 : 70,167.50 = 30,974 : x
  2. Step 2: Convert to fraction form
    50,846/70,167.50 = 30,974/x
  3. Step 3: Cross multiply
    50,846x = 70,167.50 × 30,974
  4. Step 4: Simplify right side
    50,846x = 2,173,368,145
  5. Step 5: Solve for x
    x = 2,173,368,145/50,846
  6. Step 6: Final answer
    x = 42,744.13

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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.