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Finding the Fourth Proportional to 33,205.68, 49,830.12 and 12,429

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Solution

The fourth proportional to 33,205.68, 49,830.12 and 12,429 is: 18,651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.68 : 49,830.12 = 12,429 : x
  2. Step 2: Convert to fraction form
    33,205.68/49,830.12 = 12,429/x
  3. Step 3: Cross multiply
    33,205.68x = 49,830.12 × 12,429
  4. Step 4: Simplify right side
    33,205.68x = 619,338,561.48
  5. Step 5: Solve for x
    x = 619,338,561.48/33,205.68
  6. Step 6: Final answer
    x = 18,651.58

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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.