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Finding the Fourth Proportional to 37,830.33, 56,754.60 and 11,533.44

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Solution

The fourth proportional to 37,830.33, 56,754.60 and 11,533.44 is: 17,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,830.33 : 56,754.60 = 11,533.44 : x
  2. Step 2: Convert to fraction form
    37,830.33/56,754.60 = 11,533.44/x
  3. Step 3: Cross multiply
    37,830.33x = 56,754.60 × 11,533.44
  4. Step 4: Simplify right side
    37,830.33x = 654,575,773.82
  5. Step 5: Solve for x
    x = 654,575,773.82/37,830.33
  6. Step 6: Final answer
    x = 17,302.94

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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.