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Finding the Fourth Proportional to 46,690.43, 69,983.26 and 18,603

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Solution

The fourth proportional to 46,690.43, 69,983.26 and 18,603 is: 27,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,690.43 : 69,983.26 = 18,603 : x
  2. Step 2: Convert to fraction form
    46,690.43/69,983.26 = 18,603/x
  3. Step 3: Cross multiply
    46,690.43x = 69,983.26 × 18,603
  4. Step 4: Simplify right side
    46,690.43x = 1,301,898,539.27
  5. Step 5: Solve for x
    x = 1,301,898,539.27/46,690.43
  6. Step 6: Final answer
    x = 27,883.63

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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.