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Finding the Fourth Proportional to 30,806.01, 42,492.72 and 20,196.33

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Solution

The fourth proportional to 30,806.01, 42,492.72 and 20,196.33 is: 27,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.01 : 42,492.72 = 20,196.33 : x
  2. Step 2: Convert to fraction form
    30,806.01/42,492.72 = 20,196.33/x
  3. Step 3: Cross multiply
    30,806.01x = 42,492.72 × 20,196.33
  4. Step 4: Simplify right side
    30,806.01x = 858,196,995.72
  5. Step 5: Solve for x
    x = 858,196,995.72/30,806.01
  6. Step 6: Final answer
    x = 27,858.10

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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.