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Finding the Fourth Proportional to 32,830.89, 49,261.72 and 16,181.84

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Solution

The fourth proportional to 32,830.89, 49,261.72 and 16,181.84 is: 24,280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830.89 : 49,261.72 = 16,181.84 : x
  2. Step 2: Convert to fraction form
    32,830.89/49,261.72 = 16,181.84/x
  3. Step 3: Cross multiply
    32,830.89x = 49,261.72 × 16,181.84
  4. Step 4: Simplify right side
    32,830.89x = 797,145,353.86
  5. Step 5: Solve for x
    x = 797,145,353.86/32,830.89
  6. Step 6: Final answer
    x = 24,280.35

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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.