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Finding the Fourth Proportional to 55,992.84, 77,270.12 and 30,842.34

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Solution

The fourth proportional to 55,992.84, 77,270.12 and 30,842.34 is: 42,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,992.84 : 77,270.12 = 30,842.34 : x
  2. Step 2: Convert to fraction form
    55,992.84/77,270.12 = 30,842.34/x
  3. Step 3: Cross multiply
    55,992.84x = 77,270.12 × 30,842.34
  4. Step 4: Simplify right side
    55,992.84x = 2,383,190,849.42
  5. Step 5: Solve for x
    x = 2,383,190,849.42/55,992.84
  6. Step 6: Final answer
    x = 42,562.43

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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.