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Finding the Fourth Proportional to 36,596.12, 50,502.66 and 19,829

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Solution

The fourth proportional to 36,596.12, 50,502.66 and 19,829 is: 27,364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,596.12 : 50,502.66 = 19,829 : x
  2. Step 2: Convert to fraction form
    36,596.12/50,502.66 = 19,829/x
  3. Step 3: Cross multiply
    36,596.12x = 50,502.66 × 19,829
  4. Step 4: Simplify right side
    36,596.12x = 1,001,417,245.14
  5. Step 5: Solve for x
    x = 1,001,417,245.14/36,596.12
  6. Step 6: Final answer
    x = 27,364.03

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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.