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Finding the Fourth Proportional to 36,588.94, 50,492.67 and 19,821.94

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Solution

The fourth proportional to 36,588.94, 50,492.67 and 19,821.94 is: 27,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,588.94 : 50,492.67 = 19,821.94 : x
  2. Step 2: Convert to fraction form
    36,588.94/50,492.67 = 19,821.94/x
  3. Step 3: Cross multiply
    36,588.94x = 50,492.67 × 19,821.94
  4. Step 4: Simplify right side
    36,588.94x = 1,000,862,675.18
  5. Step 5: Solve for x
    x = 1,000,862,675.18/36,588.94
  6. Step 6: Final answer
    x = 27,354.24

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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.