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Finding the Fourth Proportional to 76,109.63, 114,164.93 and 19,949.25

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Solution

The fourth proportional to 76,109.63, 114,164.93 and 19,949.25 is: 29,924.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,109.63 : 114,164.93 = 19,949.25 : x
  2. Step 2: Convert to fraction form
    76,109.63/114,164.93 = 19,949.25/x
  3. Step 3: Cross multiply
    76,109.63x = 114,164.93 × 19,949.25
  4. Step 4: Simplify right side
    76,109.63x = 2,277,504,630.06
  5. Step 5: Solve for x
    x = 2,277,504,630.06/76,109.63
  6. Step 6: Final answer
    x = 29,924.00

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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.