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Finding the Fourth Proportional to 114,564.38, 171,846.87 and 35,678.68

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Solution

The fourth proportional to 114,564.38, 171,846.87 and 35,678.68 is: 53,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,564.38 : 171,846.87 = 35,678.68 : x
  2. Step 2: Convert to fraction form
    114,564.38/171,846.87 = 35,678.68/x
  3. Step 3: Cross multiply
    114,564.38x = 171,846.87 × 35,678.68
  4. Step 4: Simplify right side
    114,564.38x = 6,131,268,920.32
  5. Step 5: Solve for x
    x = 6,131,268,920.32/114,564.38
  6. Step 6: Final answer
    x = 53,518.11

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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.