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Finding the Fourth Proportional to 36,825.60, 50,820 and 20,058.88

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Solution

The fourth proportional to 36,825.60, 50,820 and 20,058.88 is: 27,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,825.60 : 50,820 = 20,058.88 : x
  2. Step 2: Convert to fraction form
    36,825.60/50,820 = 20,058.88/x
  3. Step 3: Cross multiply
    36,825.60x = 50,820 × 20,058.88
  4. Step 4: Simplify right side
    36,825.60x = 1,019,392,281.60
  5. Step 5: Solve for x
    x = 1,019,392,281.60/36,825.60
  6. Step 6: Final answer
    x = 27,681.62

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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.