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Finding the Fourth Proportional to 75,302.73, 112,971.96 and 21,996.54

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Solution

The fourth proportional to 75,302.73, 112,971.96 and 21,996.54 is: 33,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,302.73 : 112,971.96 = 21,996.54 : x
  2. Step 2: Convert to fraction form
    75,302.73/112,971.96 = 21,996.54/x
  3. Step 3: Cross multiply
    75,302.73x = 112,971.96 × 21,996.54
  4. Step 4: Simplify right side
    75,302.73x = 2,484,992,237.02
  5. Step 5: Solve for x
    x = 2,484,992,237.02/75,302.73
  6. Step 6: Final answer
    x = 33,000.03

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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.