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Finding the Fourth Proportional to 71,541.82, 98,754.21 and 61,429.65

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Solution

The fourth proportional to 71,541.82, 98,754.21 and 61,429.65 is: 84,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,541.82 : 98,754.21 = 61,429.65 : x
  2. Step 2: Convert to fraction form
    71,541.82/98,754.21 = 61,429.65/x
  3. Step 3: Cross multiply
    71,541.82x = 98,754.21 × 61,429.65
  4. Step 4: Simplify right side
    71,541.82x = 6,066,436,556.33
  5. Step 5: Solve for x
    x = 6,066,436,556.33/71,541.82
  6. Step 6: Final answer
    x = 84,795.67

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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.