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Finding the Fourth Proportional to 33,030.38, 49,532.85 and 11,964.17

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Solution

The fourth proportional to 33,030.38, 49,532.85 and 11,964.17 is: 17,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,030.38 : 49,532.85 = 11,964.17 : x
  2. Step 2: Convert to fraction form
    33,030.38/49,532.85 = 11,964.17/x
  3. Step 3: Cross multiply
    33,030.38x = 49,532.85 × 11,964.17
  4. Step 4: Simplify right side
    33,030.38x = 592,619,561.82
  5. Step 5: Solve for x
    x = 592,619,561.82/33,030.38
  6. Step 6: Final answer
    x = 17,941.65

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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.