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Finding the Fourth Proportional to 53,729.47, 80,199.85 and 49,771

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Solution

The fourth proportional to 53,729.47, 80,199.85 and 49,771 is: 74,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,729.47 : 80,199.85 = 49,771 : x
  2. Step 2: Convert to fraction form
    53,729.47/80,199.85 = 49,771/x
  3. Step 3: Cross multiply
    53,729.47x = 80,199.85 × 49,771
  4. Step 4: Simplify right side
    53,729.47x = 3,991,626,734.35
  5. Step 5: Solve for x
    x = 3,991,626,734.35/53,729.47
  6. Step 6: Final answer
    x = 74,291.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.