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Finding the Fourth Proportional to 33,547.16, 50,326.89 and 13,814.96

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Solution

The fourth proportional to 33,547.16, 50,326.89 and 13,814.96 is: 20,724.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,547.16 : 50,326.89 = 13,814.96 : x
  2. Step 2: Convert to fraction form
    33,547.16/50,326.89 = 13,814.96/x
  3. Step 3: Cross multiply
    33,547.16x = 50,326.89 × 13,814.96
  4. Step 4: Simplify right side
    33,547.16x = 695,263,668.83
  5. Step 5: Solve for x
    x = 695,263,668.83/33,547.16
  6. Step 6: Final answer
    x = 20,724.96

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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.