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Finding the Fourth Proportional to 34,740.60, 47,939.76 and 22,164

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Solution

The fourth proportional to 34,740.60, 47,939.76 and 22,164 is: 30,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,740.60 : 47,939.76 = 22,164 : x
  2. Step 2: Convert to fraction form
    34,740.60/47,939.76 = 22,164/x
  3. Step 3: Cross multiply
    34,740.60x = 47,939.76 × 22,164
  4. Step 4: Simplify right side
    34,740.60x = 1,062,536,840.64
  5. Step 5: Solve for x
    x = 1,062,536,840.64/34,740.60
  6. Step 6: Final answer
    x = 30,584.87

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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.