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Finding the Fourth Proportional to 37,129.69, 51,238.31 and 20,996.75

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Solution

The fourth proportional to 37,129.69, 51,238.31 and 20,996.75 is: 28,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,129.69 : 51,238.31 = 20,996.75 : x
  2. Step 2: Convert to fraction form
    37,129.69/51,238.31 = 20,996.75/x
  3. Step 3: Cross multiply
    37,129.69x = 51,238.31 × 20,996.75
  4. Step 4: Simplify right side
    37,129.69x = 1,075,838,008.60
  5. Step 5: Solve for x
    x = 1,075,838,008.60/37,129.69
  6. Step 6: Final answer
    x = 28,975.14

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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.