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Finding the Fourth Proportional to 38,665.62, 57,996 and 23,071.50

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Solution

The fourth proportional to 38,665.62, 57,996 and 23,071.50 is: 34,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,665.62 : 57,996 = 23,071.50 : x
  2. Step 2: Convert to fraction form
    38,665.62/57,996 = 23,071.50/x
  3. Step 3: Cross multiply
    38,665.62x = 57,996 × 23,071.50
  4. Step 4: Simplify right side
    38,665.62x = 1,338,054,714
  5. Step 5: Solve for x
    x = 1,338,054,714/38,665.62
  6. Step 6: Final answer
    x = 34,605.80

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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.