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Finding the Fourth Proportional to 76,071.84, 114,109.50 and 23,481.36

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Solution

The fourth proportional to 76,071.84, 114,109.50 and 23,481.36 is: 35,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,071.84 : 114,109.50 = 23,481.36 : x
  2. Step 2: Convert to fraction form
    76,071.84/114,109.50 = 23,481.36/x
  3. Step 3: Cross multiply
    76,071.84x = 114,109.50 × 23,481.36
  4. Step 4: Simplify right side
    76,071.84x = 2,679,446,248.92
  5. Step 5: Solve for x
    x = 2,679,446,248.92/76,071.84
  6. Step 6: Final answer
    x = 35,222.58

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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.