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Finding the Fourth Proportional to 32,107.56, 48,144 and 14,567.82

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Solution

The fourth proportional to 32,107.56, 48,144 and 14,567.82 is: 21,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.56 : 48,144 = 14,567.82 : x
  2. Step 2: Convert to fraction form
    32,107.56/48,144 = 14,567.82/x
  3. Step 3: Cross multiply
    32,107.56x = 48,144 × 14,567.82
  4. Step 4: Simplify right side
    32,107.56x = 701,353,126.08
  5. Step 5: Solve for x
    x = 701,353,126.08/32,107.56
  6. Step 6: Final answer
    x = 21,843.86

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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.