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Finding the Fourth Proportional to 32,189.50, 48,280.15 and 12,454.56

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Solution

The fourth proportional to 32,189.50, 48,280.15 and 12,454.56 is: 18,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.50 : 48,280.15 = 12,454.56 : x
  2. Step 2: Convert to fraction form
    32,189.50/48,280.15 = 12,454.56/x
  3. Step 3: Cross multiply
    32,189.50x = 48,280.15 × 12,454.56
  4. Step 4: Simplify right side
    32,189.50x = 601,308,040.55
  5. Step 5: Solve for x
    x = 601,308,040.55/32,189.50
  6. Step 6: Final answer
    x = 18,680.25

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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.