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Finding the Fourth Proportional to 34,008.24, 51,021.01 and 19,980.12

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Solution

The fourth proportional to 34,008.24, 51,021.01 and 19,980.12 is: 29,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,008.24 : 51,021.01 = 19,980.12 : x
  2. Step 2: Convert to fraction form
    34,008.24/51,021.01 = 19,980.12/x
  3. Step 3: Cross multiply
    34,008.24x = 51,021.01 × 19,980.12
  4. Step 4: Simplify right side
    34,008.24x = 1,019,406,118.63
  5. Step 5: Solve for x
    x = 1,019,406,118.63/34,008.24
  6. Step 6: Final answer
    x = 29,975.27

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