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Finding the Fourth Proportional to 27,140.19, 40,650.14 and 20,853.93

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Solution

The fourth proportional to 27,140.19, 40,650.14 and 20,853.93 is: 31,234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,140.19 : 40,650.14 = 20,853.93 : x
  2. Step 2: Convert to fraction form
    27,140.19/40,650.14 = 20,853.93/x
  3. Step 3: Cross multiply
    27,140.19x = 40,650.14 × 20,853.93
  4. Step 4: Simplify right side
    27,140.19x = 847,715,069.78
  5. Step 5: Solve for x
    x = 847,715,069.78/27,140.19
  6. Step 6: Final answer
    x = 31,234.68

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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.