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Finding the Fourth Proportional to 51,903.60, 71,613.96 and 29,238

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Solution

The fourth proportional to 51,903.60, 71,613.96 and 29,238 is: 40,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,903.60 : 71,613.96 = 29,238 : x
  2. Step 2: Convert to fraction form
    51,903.60/71,613.96 = 29,238/x
  3. Step 3: Cross multiply
    51,903.60x = 71,613.96 × 29,238
  4. Step 4: Simplify right side
    51,903.60x = 2,093,848,962.48
  5. Step 5: Solve for x
    x = 2,093,848,962.48/51,903.60
  6. Step 6: Final answer
    x = 40,341.11

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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.