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Finding the Fourth Proportional to 37,842.78, 52,220.75 and 21,924.48

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Solution

The fourth proportional to 37,842.78, 52,220.75 and 21,924.48 is: 30,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842.78 : 52,220.75 = 21,924.48 : x
  2. Step 2: Convert to fraction form
    37,842.78/52,220.75 = 21,924.48/x
  3. Step 3: Cross multiply
    37,842.78x = 52,220.75 × 21,924.48
  4. Step 4: Simplify right side
    37,842.78x = 1,144,912,679.34
  5. Step 5: Solve for x
    x = 1,144,912,679.34/37,842.78
  6. Step 6: Final answer
    x = 30,254.45

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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.