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Finding the Fourth Proportional to 30,877.37, 46,378.05 and 18,421.73

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Solution

The fourth proportional to 30,877.37, 46,378.05 and 18,421.73 is: 27,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877.37 : 46,378.05 = 18,421.73 : x
  2. Step 2: Convert to fraction form
    30,877.37/46,378.05 = 18,421.73/x
  3. Step 3: Cross multiply
    30,877.37x = 46,378.05 × 18,421.73
  4. Step 4: Simplify right side
    30,877.37x = 854,363,915.03
  5. Step 5: Solve for x
    x = 854,363,915.03/30,877.37
  6. Step 6: Final answer
    x = 27,669.58

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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.