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Finding the Fourth Proportional to 30,544.62, 45,830.07 and 16,501.82

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Solution

The fourth proportional to 30,544.62, 45,830.07 and 16,501.82 is: 24,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,544.62 : 45,830.07 = 16,501.82 : x
  2. Step 2: Convert to fraction form
    30,544.62/45,830.07 = 16,501.82/x
  3. Step 3: Cross multiply
    30,544.62x = 45,830.07 × 16,501.82
  4. Step 4: Simplify right side
    30,544.62x = 756,279,336.58
  5. Step 5: Solve for x
    x = 756,279,336.58/30,544.62
  6. Step 6: Final answer
    x = 24,759.82

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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.