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Finding the Fourth Proportional to 42,093.84, 58,089 and 23,230.56

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Solution

The fourth proportional to 42,093.84, 58,089 and 23,230.56 is: 32,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,093.84 : 58,089 = 23,230.56 : x
  2. Step 2: Convert to fraction form
    42,093.84/58,089 = 23,230.56/x
  3. Step 3: Cross multiply
    42,093.84x = 58,089 × 23,230.56
  4. Step 4: Simplify right side
    42,093.84x = 1,349,439,999.84
  5. Step 5: Solve for x
    x = 1,349,439,999.84/42,093.84
  6. Step 6: Final answer
    x = 32,057.90

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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.