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Finding the Fourth Proportional to 34,002.51, 50,996.01 and 12,935.01

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Solution

The fourth proportional to 34,002.51, 50,996.01 and 12,935.01 is: 19,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,002.51 : 50,996.01 = 12,935.01 : x
  2. Step 2: Convert to fraction form
    34,002.51/50,996.01 = 12,935.01/x
  3. Step 3: Cross multiply
    34,002.51x = 50,996.01 × 12,935.01
  4. Step 4: Simplify right side
    34,002.51x = 659,634,139.05
  5. Step 5: Solve for x
    x = 659,634,139.05/34,002.51
  6. Step 6: Final answer
    x = 19,399.57

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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.