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Finding the Fourth Proportional to 36,593.06, 50,497.71 and 24,017

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Solution

The fourth proportional to 36,593.06, 50,497.71 and 24,017 is: 33,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,593.06 : 50,497.71 = 24,017 : x
  2. Step 2: Convert to fraction form
    36,593.06/50,497.71 = 24,017/x
  3. Step 3: Cross multiply
    36,593.06x = 50,497.71 × 24,017
  4. Step 4: Simplify right side
    36,593.06x = 1,212,803,501.07
  5. Step 5: Solve for x
    x = 1,212,803,501.07/36,593.06
  6. Step 6: Final answer
    x = 33,142.99

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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.