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Finding the Fourth Proportional to 34,009.60, 50,964.60 and 30,499.60

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Solution

The fourth proportional to 34,009.60, 50,964.60 and 30,499.60 is: 45,704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.60 : 50,964.60 = 30,499.60 : x
  2. Step 2: Convert to fraction form
    34,009.60/50,964.60 = 30,499.60/x
  3. Step 3: Cross multiply
    34,009.60x = 50,964.60 × 30,499.60
  4. Step 4: Simplify right side
    34,009.60x = 1,554,399,914.16
  5. Step 5: Solve for x
    x = 1,554,399,914.16/34,009.60
  6. Step 6: Final answer
    x = 45,704.74

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Why These Related Problems?

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