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Finding the Fourth Proportional to 82,709.38, 114,164.95 and 46,923.17

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Solution

The fourth proportional to 82,709.38, 114,164.95 and 46,923.17 is: 64,768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,709.38 : 114,164.95 = 46,923.17 : x
  2. Step 2: Convert to fraction form
    82,709.38/114,164.95 = 46,923.17/x
  3. Step 3: Cross multiply
    82,709.38x = 114,164.95 × 46,923.17
  4. Step 4: Simplify right side
    82,709.38x = 5,356,981,356.89
  5. Step 5: Solve for x
    x = 5,356,981,356.89/82,709.38
  6. Step 6: Final answer
    x = 64,768.73

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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.