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Finding the Fourth Proportional to 20,492.94, 30,736.35 and 5,700.33

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Solution

The fourth proportional to 20,492.94, 30,736.35 and 5,700.33 is: 8,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,492.94 : 30,736.35 = 5,700.33 : x
  2. Step 2: Convert to fraction form
    20,492.94/30,736.35 = 5,700.33/x
  3. Step 3: Cross multiply
    20,492.94x = 30,736.35 × 5,700.33
  4. Step 4: Simplify right side
    20,492.94x = 175,207,338.00
  5. Step 5: Solve for x
    x = 175,207,338.00/20,492.94
  6. Step 6: Final answer
    x = 8,549.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.