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Finding the Fourth Proportional to 37,825.79, 56,747.19 and 11,533.19

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Solution

The fourth proportional to 37,825.79, 56,747.19 and 11,533.19 is: 17,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,825.79 : 56,747.19 = 11,533.19 : x
  2. Step 2: Convert to fraction form
    37,825.79/56,747.19 = 11,533.19/x
  3. Step 3: Cross multiply
    37,825.79x = 56,747.19 × 11,533.19
  4. Step 4: Simplify right side
    37,825.79x = 654,476,309.35
  5. Step 5: Solve for x
    x = 654,476,309.35/37,825.79
  6. Step 6: Final answer
    x = 17,302.38

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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.