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Finding the Fourth Proportional to 37,186, 51,317.04 and 20,419.36

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Solution

The fourth proportional to 37,186, 51,317.04 and 20,419.36 is: 28,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,186 : 51,317.04 = 20,419.36 : x
  2. Step 2: Convert to fraction form
    37,186/51,317.04 = 20,419.36/x
  3. Step 3: Cross multiply
    37,186x = 51,317.04 × 20,419.36
  4. Step 4: Simplify right side
    37,186x = 1,047,861,113.89
  5. Step 5: Solve for x
    x = 1,047,861,113.89/37,186
  6. Step 6: Final answer
    x = 28,178.91

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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.