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Finding the Fourth Proportional to 35,514.34, 49,012.56 and 20,412.26

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Solution

The fourth proportional to 35,514.34, 49,012.56 and 20,412.26 is: 28,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,514.34 : 49,012.56 = 20,412.26 : x
  2. Step 2: Convert to fraction form
    35,514.34/49,012.56 = 20,412.26/x
  3. Step 3: Cross multiply
    35,514.34x = 49,012.56 × 20,412.26
  4. Step 4: Simplify right side
    35,514.34x = 1,000,457,117.99
  5. Step 5: Solve for x
    x = 1,000,457,117.99/35,514.34
  6. Step 6: Final answer
    x = 28,170.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.