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Finding the Fourth Proportional to 114,828, 172,242.72 and 31,722.72

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Solution

The fourth proportional to 114,828, 172,242.72 and 31,722.72 is: 47,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,828 : 172,242.72 = 31,722.72 : x
  2. Step 2: Convert to fraction form
    114,828/172,242.72 = 31,722.72/x
  3. Step 3: Cross multiply
    114,828x = 172,242.72 × 31,722.72
  4. Step 4: Simplify right side
    114,828x = 5,464,007,578.60
  5. Step 5: Solve for x
    x = 5,464,007,578.60/114,828
  6. Step 6: Final answer
    x = 47,584.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.