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Finding the Fourth Proportional to 30,494.42, 45,763.50 and 12,976.56

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Solution

The fourth proportional to 30,494.42, 45,763.50 and 12,976.56 is: 19,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.42 : 45,763.50 = 12,976.56 : x
  2. Step 2: Convert to fraction form
    30,494.42/45,763.50 = 12,976.56/x
  3. Step 3: Cross multiply
    30,494.42x = 45,763.50 × 12,976.56
  4. Step 4: Simplify right side
    30,494.42x = 593,852,803.56
  5. Step 5: Solve for x
    x = 593,852,803.56/30,494.42
  6. Step 6: Final answer
    x = 19,474.15

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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.