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Finding the Fourth Proportional to 37,579.02, 51,741.02 and 31,902

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Solution

The fourth proportional to 37,579.02, 51,741.02 and 31,902 is: 43,924.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,579.02 : 51,741.02 = 31,902 : x
  2. Step 2: Convert to fraction form
    37,579.02/51,741.02 = 31,902/x
  3. Step 3: Cross multiply
    37,579.02x = 51,741.02 × 31,902
  4. Step 4: Simplify right side
    37,579.02x = 1,650,641,860.53
  5. Step 5: Solve for x
    x = 1,650,641,860.53/37,579.02
  6. Step 6: Final answer
    x = 43,924.56

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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.