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Finding the Fourth Proportional to 32,184.41, 48,289.88 and 14,163.39

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Solution

The fourth proportional to 32,184.41, 48,289.88 and 14,163.39 is: 21,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.41 : 48,289.88 = 14,163.39 : x
  2. Step 2: Convert to fraction form
    32,184.41/48,289.88 = 14,163.39/x
  3. Step 3: Cross multiply
    32,184.41x = 48,289.88 × 14,163.39
  4. Step 4: Simplify right side
    32,184.41x = 683,948,438.90
  5. Step 5: Solve for x
    x = 683,948,438.90/32,184.41
  6. Step 6: Final answer
    x = 21,250.93

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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.