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Finding the Fourth Proportional to 77,942.00, 116,866.16 and 30,500.51

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Solution

The fourth proportional to 77,942.00, 116,866.16 and 30,500.51 is: 45,732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,942.00 : 116,866.16 = 30,500.51 : x
  2. Step 2: Convert to fraction form
    77,942.00/116,866.16 = 30,500.51/x
  3. Step 3: Cross multiply
    77,942.00x = 116,866.16 × 30,500.51
  4. Step 4: Simplify right side
    77,942.00x = 3,564,476,744.91
  5. Step 5: Solve for x
    x = 3,564,476,744.91/77,942.00
  6. Step 6: Final answer
    x = 45,732.42

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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.