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Finding the Fourth Proportional to 27,187.48, 40,820.16 and 20,189.08

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Solution

The fourth proportional to 27,187.48, 40,820.16 and 20,189.08 is: 30,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,187.48 : 40,820.16 = 20,189.08 : x
  2. Step 2: Convert to fraction form
    27,187.48/40,820.16 = 20,189.08/x
  3. Step 3: Cross multiply
    27,187.48x = 40,820.16 × 20,189.08
  4. Step 4: Simplify right side
    27,187.48x = 824,121,475.85
  5. Step 5: Solve for x
    x = 824,121,475.85/27,187.48
  6. Step 6: Final answer
    x = 30,312.54

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