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Finding the Fourth Proportional to 114,007, 171,015.36 and 30,901

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Solution

The fourth proportional to 114,007, 171,015.36 and 30,901 is: 46,352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,007 : 171,015.36 = 30,901 : x
  2. Step 2: Convert to fraction form
    114,007/171,015.36 = 30,901/x
  3. Step 3: Cross multiply
    114,007x = 171,015.36 × 30,901
  4. Step 4: Simplify right side
    114,007x = 5,284,545,639.36
  5. Step 5: Solve for x
    x = 5,284,545,639.36/114,007
  6. Step 6: Final answer
    x = 46,352.82

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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.