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Finding the Fourth Proportional to 52,481.54, 72,421.80 and 29,817.38

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Solution

The fourth proportional to 52,481.54, 72,421.80 and 29,817.38 is: 41,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,481.54 : 72,421.80 = 29,817.38 : x
  2. Step 2: Convert to fraction form
    52,481.54/72,421.80 = 29,817.38/x
  3. Step 3: Cross multiply
    52,481.54x = 72,421.80 × 29,817.38
  4. Step 4: Simplify right side
    52,481.54x = 2,159,428,400.12
  5. Step 5: Solve for x
    x = 2,159,428,400.12/52,481.54
  6. Step 6: Final answer
    x = 41,146.44

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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.