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Finding the Fourth Proportional to 37,972.88, 52,402.92 and 22,058

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Solution

The fourth proportional to 37,972.88, 52,402.92 and 22,058 is: 30,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,972.88 : 52,402.92 = 22,058 : x
  2. Step 2: Convert to fraction form
    37,972.88/52,402.92 = 22,058/x
  3. Step 3: Cross multiply
    37,972.88x = 52,402.92 × 22,058
  4. Step 4: Simplify right side
    37,972.88x = 1,155,903,609.36
  5. Step 5: Solve for x
    x = 1,155,903,609.36/37,972.88
  6. Step 6: Final answer
    x = 30,440.24

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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.