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Finding the Fourth Proportional to 37,577.64, 51,739.12 and 31,900.62

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Solution

The fourth proportional to 37,577.64, 51,739.12 and 31,900.62 is: 43,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,577.64 : 51,739.12 = 31,900.62 : x
  2. Step 2: Convert to fraction form
    37,577.64/51,739.12 = 31,900.62/x
  3. Step 3: Cross multiply
    37,577.64x = 51,739.12 × 31,900.62
  4. Step 4: Simplify right side
    37,577.64x = 1,650,510,006.25
  5. Step 5: Solve for x
    x = 1,650,510,006.25/37,577.64
  6. Step 6: Final answer
    x = 43,922.66

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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.