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Finding the Fourth Proportional to 30,848.46, 46,265.40 and 14,198.10

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Solution

The fourth proportional to 30,848.46, 46,265.40 and 14,198.10 is: 21,293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,848.46 : 46,265.40 = 14,198.10 : x
  2. Step 2: Convert to fraction form
    30,848.46/46,265.40 = 14,198.10/x
  3. Step 3: Cross multiply
    30,848.46x = 46,265.40 × 14,198.10
  4. Step 4: Simplify right side
    30,848.46x = 656,880,775.74
  5. Step 5: Solve for x
    x = 656,880,775.74/30,848.46
  6. Step 6: Final answer
    x = 21,293.79

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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.