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Finding the Fourth Proportional to 42,586.88, 58,771 and 23,724.32

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Solution

The fourth proportional to 42,586.88, 58,771 and 23,724.32 is: 32,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,586.88 : 58,771 = 23,724.32 : x
  2. Step 2: Convert to fraction form
    42,586.88/58,771 = 23,724.32/x
  3. Step 3: Cross multiply
    42,586.88x = 58,771 × 23,724.32
  4. Step 4: Simplify right side
    42,586.88x = 1,394,302,010.72
  5. Step 5: Solve for x
    x = 1,394,302,010.72/42,586.88
  6. Step 6: Final answer
    x = 32,740.18

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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.