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Finding the Fourth Proportional to 30,801.28, 46,205.52 and 10,804.66

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Solution

The fourth proportional to 30,801.28, 46,205.52 and 10,804.66 is: 16,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,801.28 : 46,205.52 = 10,804.66 : x
  2. Step 2: Convert to fraction form
    30,801.28/46,205.52 = 10,804.66/x
  3. Step 3: Cross multiply
    30,801.28x = 46,205.52 × 10,804.66
  4. Step 4: Simplify right side
    30,801.28x = 499,234,933.72
  5. Step 5: Solve for x
    x = 499,234,933.72/30,801.28
  6. Step 6: Final answer
    x = 16,208.25

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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.