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Finding the Fourth Proportional to 30,963.30, 46,448.31 and 9,898.44

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Solution

The fourth proportional to 30,963.30, 46,448.31 and 9,898.44 is: 14,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,963.30 : 46,448.31 = 9,898.44 : x
  2. Step 2: Convert to fraction form
    30,963.30/46,448.31 = 9,898.44/x
  3. Step 3: Cross multiply
    30,963.30x = 46,448.31 × 9,898.44
  4. Step 4: Simplify right side
    30,963.30x = 459,765,809.64
  5. Step 5: Solve for x
    x = 459,765,809.64/30,963.30
  6. Step 6: Final answer
    x = 14,848.73

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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.