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Finding the Fourth Proportional to 30,797.70, 46,200.33 and 13,263.90

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Solution

The fourth proportional to 30,797.70, 46,200.33 and 13,263.90 is: 19,897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.70 : 46,200.33 = 13,263.90 : x
  2. Step 2: Convert to fraction form
    30,797.70/46,200.33 = 13,263.90/x
  3. Step 3: Cross multiply
    30,797.70x = 46,200.33 × 13,263.90
  4. Step 4: Simplify right side
    30,797.70x = 612,796,557.09
  5. Step 5: Solve for x
    x = 612,796,557.09/30,797.70
  6. Step 6: Final answer
    x = 19,897.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.