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Finding the Fourth Proportional to 114,872.64, 172,308.78 and 35,992.98

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Solution

The fourth proportional to 114,872.64, 172,308.78 and 35,992.98 is: 53,989.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,872.64 : 172,308.78 = 35,992.98 : x
  2. Step 2: Convert to fraction form
    114,872.64/172,308.78 = 35,992.98/x
  3. Step 3: Cross multiply
    114,872.64x = 172,308.78 × 35,992.98
  4. Step 4: Simplify right side
    114,872.64x = 6,201,906,472.36
  5. Step 5: Solve for x
    x = 6,201,906,472.36/114,872.64
  6. Step 6: Final answer
    x = 53,989.41

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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.