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Finding the Fourth Proportional to 55,271.52, 76,274.70 and 30,121

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Solution

The fourth proportional to 55,271.52, 76,274.70 and 30,121 is: 41,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,271.52 : 76,274.70 = 30,121 : x
  2. Step 2: Convert to fraction form
    55,271.52/76,274.70 = 30,121/x
  3. Step 3: Cross multiply
    55,271.52x = 76,274.70 × 30,121
  4. Step 4: Simplify right side
    55,271.52x = 2,297,470,238.70
  5. Step 5: Solve for x
    x = 2,297,470,238.70/55,271.52
  6. Step 6: Final answer
    x = 41,566.98

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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.