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Finding the Fourth Proportional to 30,650.84, 45,933.74 and 13,970.12

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Solution

The fourth proportional to 30,650.84, 45,933.74 and 13,970.12 is: 20,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650.84 : 45,933.74 = 13,970.12 : x
  2. Step 2: Convert to fraction form
    30,650.84/45,933.74 = 13,970.12/x
  3. Step 3: Cross multiply
    30,650.84x = 45,933.74 × 13,970.12
  4. Step 4: Simplify right side
    30,650.84x = 641,699,859.85
  5. Step 5: Solve for x
    x = 641,699,859.85/30,650.84
  6. Step 6: Final answer
    x = 20,935.80

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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.