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Finding the Fourth Proportional to 82,958.94, 114,392.97 and 56,054.79

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Solution

The fourth proportional to 82,958.94, 114,392.97 and 56,054.79 is: 77,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,958.94 : 114,392.97 = 56,054.79 : x
  2. Step 2: Convert to fraction form
    82,958.94/114,392.97 = 56,054.79/x
  3. Step 3: Cross multiply
    82,958.94x = 114,392.97 × 56,054.79
  4. Step 4: Simplify right side
    82,958.94x = 6,412,273,910.83
  5. Step 5: Solve for x
    x = 6,412,273,910.83/82,958.94
  6. Step 6: Final answer
    x = 77,294.55

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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.