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Finding the Fourth Proportional to 58,731.74, 81,050 and 31,874.24

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Solution

The fourth proportional to 58,731.74, 81,050 and 31,874.24 is: 43,986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,731.74 : 81,050 = 31,874.24 : x
  2. Step 2: Convert to fraction form
    58,731.74/81,050 = 31,874.24/x
  3. Step 3: Cross multiply
    58,731.74x = 81,050 × 31,874.24
  4. Step 4: Simplify right side
    58,731.74x = 2,583,407,152
  5. Step 5: Solve for x
    x = 2,583,407,152/58,731.74
  6. Step 6: Final answer
    x = 43,986.56

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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.