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Finding the Fourth Proportional to 30,594.84, 45,906.03 and 16,538.41

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Solution

The fourth proportional to 30,594.84, 45,906.03 and 16,538.41 is: 24,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.84 : 45,906.03 = 16,538.41 : x
  2. Step 2: Convert to fraction form
    30,594.84/45,906.03 = 16,538.41/x
  3. Step 3: Cross multiply
    30,594.84x = 45,906.03 × 16,538.41
  4. Step 4: Simplify right side
    30,594.84x = 759,212,745.61
  5. Step 5: Solve for x
    x = 759,212,745.61/30,594.84
  6. Step 6: Final answer
    x = 24,815.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.