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Finding the Fourth Proportional to 42,230.94, 57,968.22 and 37,343.77

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Solution

The fourth proportional to 42,230.94, 57,968.22 and 37,343.77 is: 51,259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,230.94 : 57,968.22 = 37,343.77 : x
  2. Step 2: Convert to fraction form
    42,230.94/57,968.22 = 37,343.77/x
  3. Step 3: Cross multiply
    42,230.94x = 57,968.22 × 37,343.77
  4. Step 4: Simplify right side
    42,230.94x = 2,164,751,870.11
  5. Step 5: Solve for x
    x = 2,164,751,870.11/42,230.94
  6. Step 6: Final answer
    x = 51,259.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.