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Finding the Fourth Proportional to 42,014.70, 57,983.43 and 23,151.90

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Solution

The fourth proportional to 42,014.70, 57,983.43 and 23,151.90 is: 31,951.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,014.70 : 57,983.43 = 23,151.90 : x
  2. Step 2: Convert to fraction form
    42,014.70/57,983.43 = 23,151.90/x
  3. Step 3: Cross multiply
    42,014.70x = 57,983.43 × 23,151.90
  4. Step 4: Simplify right side
    42,014.70x = 1,342,426,573.02
  5. Step 5: Solve for x
    x = 1,342,426,573.02/42,014.70
  6. Step 6: Final answer
    x = 31,951.35

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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.