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Finding the Fourth Proportional to 30,172.34, 41,636.75 and 16,744.16

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Solution

The fourth proportional to 30,172.34, 41,636.75 and 16,744.16 is: 23,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,172.34 : 41,636.75 = 16,744.16 : x
  2. Step 2: Convert to fraction form
    30,172.34/41,636.75 = 16,744.16/x
  3. Step 3: Cross multiply
    30,172.34x = 41,636.75 × 16,744.16
  4. Step 4: Simplify right side
    30,172.34x = 697,172,111.98
  5. Step 5: Solve for x
    x = 697,172,111.98/30,172.34
  6. Step 6: Final answer
    x = 23,106.34

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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.