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Finding the Fourth Proportional to 30,696.90, 46,050.24 and 13,166.88

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Solution

The fourth proportional to 30,696.90, 46,050.24 and 13,166.88 is: 19,752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696.90 : 46,050.24 = 13,166.88 : x
  2. Step 2: Convert to fraction form
    30,696.90/46,050.24 = 13,166.88/x
  3. Step 3: Cross multiply
    30,696.90x = 46,050.24 × 13,166.88
  4. Step 4: Simplify right side
    30,696.90x = 606,337,984.05
  5. Step 5: Solve for x
    x = 606,337,984.05/30,696.90
  6. Step 6: Final answer
    x = 19,752.42

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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.