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Finding the Fourth Proportional to 81,841.67, 112,940.40 and 46,031.67

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Solution

The fourth proportional to 81,841.67, 112,940.40 and 46,031.67 is: 63,523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,841.67 : 112,940.40 = 46,031.67 : x
  2. Step 2: Convert to fraction form
    81,841.67/112,940.40 = 46,031.67/x
  3. Step 3: Cross multiply
    81,841.67x = 112,940.40 × 46,031.67
  4. Step 4: Simplify right side
    81,841.67x = 5,198,835,222.47
  5. Step 5: Solve for x
    x = 5,198,835,222.47/81,841.67
  6. Step 6: Final answer
    x = 63,523.09

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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.