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Finding the Fourth Proportional to 30,439.45, 45,662.82 and 12,907

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Solution

The fourth proportional to 30,439.45, 45,662.82 and 12,907 is: 19,362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,439.45 : 45,662.82 = 12,907 : x
  2. Step 2: Convert to fraction form
    30,439.45/45,662.82 = 12,907/x
  3. Step 3: Cross multiply
    30,439.45x = 45,662.82 × 12,907
  4. Step 4: Simplify right side
    30,439.45x = 589,370,017.74
  5. Step 5: Solve for x
    x = 589,370,017.74/30,439.45
  6. Step 6: Final answer
    x = 19,362.05

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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.