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Finding the Fourth Proportional to 33,030.25, 49,549.12 and 11,980.10

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Solution

The fourth proportional to 33,030.25, 49,549.12 and 11,980.10 is: 17,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,030.25 : 49,549.12 = 11,980.10 : x
  2. Step 2: Convert to fraction form
    33,030.25/49,549.12 = 11,980.10/x
  3. Step 3: Cross multiply
    33,030.25x = 49,549.12 × 11,980.10
  4. Step 4: Simplify right side
    33,030.25x = 593,603,506.43
  5. Step 5: Solve for x
    x = 593,603,506.43/33,030.25
  6. Step 6: Final answer
    x = 17,971.51

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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.