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Finding the Fourth Proportional to 76,786.80, 105,974.36 and 42,798.39

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Solution

The fourth proportional to 76,786.80, 105,974.36 and 42,798.39 is: 59,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,786.80 : 105,974.36 = 42,798.39 : x
  2. Step 2: Convert to fraction form
    76,786.80/105,974.36 = 42,798.39/x
  3. Step 3: Cross multiply
    76,786.80x = 105,974.36 × 42,798.39
  4. Step 4: Simplify right side
    76,786.80x = 4,535,531,538.38
  5. Step 5: Solve for x
    x = 4,535,531,538.38/76,786.80
  6. Step 6: Final answer
    x = 59,066.56

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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.