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Finding the Fourth Proportional to 114,590.94, 171,894.69 and 47,964.06

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Solution

The fourth proportional to 114,590.94, 171,894.69 and 47,964.06 is: 71,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,590.94 : 171,894.69 = 47,964.06 : x
  2. Step 2: Convert to fraction form
    114,590.94/171,894.69 = 47,964.06/x
  3. Step 3: Cross multiply
    114,590.94x = 171,894.69 × 47,964.06
  4. Step 4: Simplify right side
    114,590.94x = 8,244,767,224.84
  5. Step 5: Solve for x
    x = 8,244,767,224.84/114,590.94
  6. Step 6: Final answer
    x = 71,949.56

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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.