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Finding the Fourth Proportional to 114,834, 172,254.22 and 31,728

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Solution

The fourth proportional to 114,834, 172,254.22 and 31,728 is: 47,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,834 : 172,254.22 = 31,728 : x
  2. Step 2: Convert to fraction form
    114,834/172,254.22 = 31,728/x
  3. Step 3: Cross multiply
    114,834x = 172,254.22 × 31,728
  4. Step 4: Simplify right side
    114,834x = 5,465,281,892.16
  5. Step 5: Solve for x
    x = 5,465,281,892.16/114,834
  6. Step 6: Final answer
    x = 47,592.89

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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.