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Finding the Fourth Proportional to 30,494.16, 45,747 and 12,963.92

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Solution

The fourth proportional to 30,494.16, 45,747 and 12,963.92 is: 19,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.16 : 45,747 = 12,963.92 : x
  2. Step 2: Convert to fraction form
    30,494.16/45,747 = 12,963.92/x
  3. Step 3: Cross multiply
    30,494.16x = 45,747 × 12,963.92
  4. Step 4: Simplify right side
    30,494.16x = 593,060,448.24
  5. Step 5: Solve for x
    x = 593,060,448.24/30,494.16
  6. Step 6: Final answer
    x = 19,448.33

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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.