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Finding the Fourth Proportional to 36,499, 50,368.62 and 19,732

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Solution

The fourth proportional to 36,499, 50,368.62 and 19,732 is: 27,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,499 : 50,368.62 = 19,732 : x
  2. Step 2: Convert to fraction form
    36,499/50,368.62 = 19,732/x
  3. Step 3: Cross multiply
    36,499x = 50,368.62 × 19,732
  4. Step 4: Simplify right side
    36,499x = 993,873,609.84
  5. Step 5: Solve for x
    x = 993,873,609.84/36,499
  6. Step 6: Final answer
    x = 27,230.16

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Why These Related Problems?

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