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Finding the Fourth Proportional to 42,105.84, 58,105.56 and 23,242.56

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Solution

The fourth proportional to 42,105.84, 58,105.56 and 23,242.56 is: 32,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,105.84 : 58,105.56 = 23,242.56 : x
  2. Step 2: Convert to fraction form
    42,105.84/58,105.56 = 23,242.56/x
  3. Step 3: Cross multiply
    42,105.84x = 58,105.56 × 23,242.56
  4. Step 4: Simplify right side
    42,105.84x = 1,350,521,964.63
  5. Step 5: Solve for x
    x = 1,350,521,964.63/42,105.84
  6. Step 6: Final answer
    x = 32,074.46

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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.