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Finding the Fourth Proportional to 33,338.32, 49,988.76 and 11,140

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Solution

The fourth proportional to 33,338.32, 49,988.76 and 11,140 is: 16,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,338.32 : 49,988.76 = 11,140 : x
  2. Step 2: Convert to fraction form
    33,338.32/49,988.76 = 11,140/x
  3. Step 3: Cross multiply
    33,338.32x = 49,988.76 × 11,140
  4. Step 4: Simplify right side
    33,338.32x = 556,874,786.40
  5. Step 5: Solve for x
    x = 556,874,786.40/33,338.32
  6. Step 6: Final answer
    x = 16,703.74

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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.