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Finding the Fourth Proportional to 46,029.40, 69,044.10 and 16,448.20

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Solution

The fourth proportional to 46,029.40, 69,044.10 and 16,448.20 is: 24,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,029.40 : 69,044.10 = 16,448.20 : x
  2. Step 2: Convert to fraction form
    46,029.40/69,044.10 = 16,448.20/x
  3. Step 3: Cross multiply
    46,029.40x = 69,044.10 × 16,448.20
  4. Step 4: Simplify right side
    46,029.40x = 1,135,651,165.62
  5. Step 5: Solve for x
    x = 1,135,651,165.62/46,029.40
  6. Step 6: Final answer
    x = 24,672.30

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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.