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Finding the Fourth Proportional to 54,063.16, 74,603.10 and 33,919

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Solution

The fourth proportional to 54,063.16, 74,603.10 and 33,919 is: 46,805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,063.16 : 74,603.10 = 33,919 : x
  2. Step 2: Convert to fraction form
    54,063.16/74,603.10 = 33,919/x
  3. Step 3: Cross multiply
    54,063.16x = 74,603.10 × 33,919
  4. Step 4: Simplify right side
    54,063.16x = 2,530,462,548.90
  5. Step 5: Solve for x
    x = 2,530,462,548.90/54,063.16
  6. Step 6: Final answer
    x = 46,805.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.