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Finding the Fourth Proportional to 46,354.72, 69,531.36 and 18,652

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Solution

The fourth proportional to 46,354.72, 69,531.36 and 18,652 is: 27,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,354.72 : 69,531.36 = 18,652 : x
  2. Step 2: Convert to fraction form
    46,354.72/69,531.36 = 18,652/x
  3. Step 3: Cross multiply
    46,354.72x = 69,531.36 × 18,652
  4. Step 4: Simplify right side
    46,354.72x = 1,296,898,926.72
  5. Step 5: Solve for x
    x = 1,296,898,926.72/46,354.72
  6. Step 6: Final answer
    x = 27,977.71

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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.