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Finding the Fourth Proportional to 30,942.01, 46,421.39 and 14,288.41

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Solution

The fourth proportional to 30,942.01, 46,421.39 and 14,288.41 is: 21,436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942.01 : 46,421.39 = 14,288.41 : x
  2. Step 2: Convert to fraction form
    30,942.01/46,421.39 = 14,288.41/x
  3. Step 3: Cross multiply
    30,942.01x = 46,421.39 × 14,288.41
  4. Step 4: Simplify right side
    30,942.01x = 663,287,853.09
  5. Step 5: Solve for x
    x = 663,287,853.09/30,942.01
  6. Step 6: Final answer
    x = 21,436.48

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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.