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Finding the Fourth Proportional to 32,167, 44,390.46 and 18,019.84

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Solution

The fourth proportional to 32,167, 44,390.46 and 18,019.84 is: 24,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,167 : 44,390.46 = 18,019.84 : x
  2. Step 2: Convert to fraction form
    32,167/44,390.46 = 18,019.84/x
  3. Step 3: Cross multiply
    32,167x = 44,390.46 × 18,019.84
  4. Step 4: Simplify right side
    32,167x = 799,908,986.73
  5. Step 5: Solve for x
    x = 799,908,986.73/32,167
  6. Step 6: Final answer
    x = 24,867.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.