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Finding the Fourth Proportional to 46,214.72, 69,348 and 18,514.88

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Solution

The fourth proportional to 46,214.72, 69,348 and 18,514.88 is: 27,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,214.72 : 69,348 = 18,514.88 : x
  2. Step 2: Convert to fraction form
    46,214.72/69,348 = 18,514.88/x
  3. Step 3: Cross multiply
    46,214.72x = 69,348 × 18,514.88
  4. Step 4: Simplify right side
    46,214.72x = 1,283,969,898.24
  5. Step 5: Solve for x
    x = 1,283,969,898.24/46,214.72
  6. Step 6: Final answer
    x = 27,782.70

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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.