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Finding the Fourth Proportional to 30,852.14, 46,278.14 and 12,119.08

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Solution

The fourth proportional to 30,852.14, 46,278.14 and 12,119.08 is: 18,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.14 : 46,278.14 = 12,119.08 : x
  2. Step 2: Convert to fraction form
    30,852.14/46,278.14 = 12,119.08/x
  3. Step 3: Cross multiply
    30,852.14x = 46,278.14 × 12,119.08
  4. Step 4: Simplify right side
    30,852.14x = 560,848,480.91
  5. Step 5: Solve for x
    x = 560,848,480.91/30,852.14
  6. Step 6: Final answer
    x = 18,178.59

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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.