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Finding the Fourth Proportional to 77,708.97, 116,693.46 and 67,933.08

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Solution

The fourth proportional to 77,708.97, 116,693.46 and 67,933.08 is: 102,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,708.97 : 116,693.46 = 67,933.08 : x
  2. Step 2: Convert to fraction form
    77,708.97/116,693.46 = 67,933.08/x
  3. Step 3: Cross multiply
    77,708.97x = 116,693.46 × 67,933.08
  4. Step 4: Simplify right side
    77,708.97x = 7,927,346,153.66
  5. Step 5: Solve for x
    x = 7,927,346,153.66/77,708.97
  6. Step 6: Final answer
    x = 102,013.27

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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.