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Finding the Fourth Proportional to 34,033.34, 46,961.70 and 21,465.38

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Solution

The fourth proportional to 34,033.34, 46,961.70 and 21,465.38 is: 29,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,033.34 : 46,961.70 = 21,465.38 : x
  2. Step 2: Convert to fraction form
    34,033.34/46,961.70 = 21,465.38/x
  3. Step 3: Cross multiply
    34,033.34x = 46,961.70 × 21,465.38
  4. Step 4: Simplify right side
    34,033.34x = 1,008,050,735.95
  5. Step 5: Solve for x
    x = 1,008,050,735.95/34,033.34
  6. Step 6: Final answer
    x = 29,619.51

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Why These Related Problems?

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