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Finding the Fourth Proportional to 77,477.34, 106,913.43 and 43,481.82

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Solution

The fourth proportional to 77,477.34, 106,913.43 and 43,481.82 is: 60,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,477.34 : 106,913.43 = 43,481.82 : x
  2. Step 2: Convert to fraction form
    77,477.34/106,913.43 = 43,481.82/x
  3. Step 3: Cross multiply
    77,477.34x = 106,913.43 × 43,481.82
  4. Step 4: Simplify right side
    77,477.34x = 4,648,790,518.84
  5. Step 5: Solve for x
    x = 4,648,790,518.84/77,477.34
  6. Step 6: Final answer
    x = 60,001.94

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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.