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Finding the Fourth Proportional to 82,936, 114,529.44 and 57,855.04

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Solution

The fourth proportional to 82,936, 114,529.44 and 57,855.04 is: 79,894.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,936 : 114,529.44 = 57,855.04 : x
  2. Step 2: Convert to fraction form
    82,936/114,529.44 = 57,855.04/x
  3. Step 3: Cross multiply
    82,936x = 114,529.44 × 57,855.04
  4. Step 4: Simplify right side
    82,936x = 6,626,105,332.38
  5. Step 5: Solve for x
    x = 6,626,105,332.38/82,936
  6. Step 6: Final answer
    x = 79,894.20

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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.