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Finding the Fourth Proportional to 33,457.14, 46,170.47 and 19,309.68

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Solution

The fourth proportional to 33,457.14, 46,170.47 and 19,309.68 is: 26,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,457.14 : 46,170.47 = 19,309.68 : x
  2. Step 2: Convert to fraction form
    33,457.14/46,170.47 = 19,309.68/x
  3. Step 3: Cross multiply
    33,457.14x = 46,170.47 × 19,309.68
  4. Step 4: Simplify right side
    33,457.14x = 891,537,049.42
  5. Step 5: Solve for x
    x = 891,537,049.42/33,457.14
  6. Step 6: Final answer
    x = 26,647.14

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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.