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Finding the Fourth Proportional to 37,390.32, 51,546.96 and 29,862

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Solution

The fourth proportional to 37,390.32, 51,546.96 and 29,862 is: 41,168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,390.32 : 51,546.96 = 29,862 : x
  2. Step 2: Convert to fraction form
    37,390.32/51,546.96 = 29,862/x
  3. Step 3: Cross multiply
    37,390.32x = 51,546.96 × 29,862
  4. Step 4: Simplify right side
    37,390.32x = 1,539,295,319.52
  5. Step 5: Solve for x
    x = 1,539,295,319.52/37,390.32
  6. Step 6: Final answer
    x = 41,168.28

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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.