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Finding the Fourth Proportional to 30,767.88, 42,460.52 and 18,831

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Solution

The fourth proportional to 30,767.88, 42,460.52 and 18,831 is: 25,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,767.88 : 42,460.52 = 18,831 : x
  2. Step 2: Convert to fraction form
    30,767.88/42,460.52 = 18,831/x
  3. Step 3: Cross multiply
    30,767.88x = 42,460.52 × 18,831
  4. Step 4: Simplify right side
    30,767.88x = 799,574,052.12
  5. Step 5: Solve for x
    x = 799,574,052.12/30,767.88
  6. Step 6: Final answer
    x = 25,987.30

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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.