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Finding the Fourth Proportional to 30,165.90, 45,247.23 and 7,980

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Solution

The fourth proportional to 30,165.90, 45,247.23 and 7,980 is: 11,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165.90 : 45,247.23 = 7,980 : x
  2. Step 2: Convert to fraction form
    30,165.90/45,247.23 = 7,980/x
  3. Step 3: Cross multiply
    30,165.90x = 45,247.23 × 7,980
  4. Step 4: Simplify right side
    30,165.90x = 361,072,895.40
  5. Step 5: Solve for x
    x = 361,072,895.40/30,165.90
  6. Step 6: Final answer
    x = 11,969.57

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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.