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Finding the Fourth Proportional to 103,992.32, 155,982 and 30,120.32

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Solution

The fourth proportional to 103,992.32, 155,982 and 30,120.32 is: 45,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,992.32 : 155,982 = 30,120.32 : x
  2. Step 2: Convert to fraction form
    103,992.32/155,982 = 30,120.32/x
  3. Step 3: Cross multiply
    103,992.32x = 155,982 × 30,120.32
  4. Step 4: Simplify right side
    103,992.32x = 4,698,227,754.24
  5. Step 5: Solve for x
    x = 4,698,227,754.24/103,992.32
  6. Step 6: Final answer
    x = 45,178.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.