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Finding the Fourth Proportional to 114,420.84, 171,512.10 and 38,463

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Solution

The fourth proportional to 114,420.84, 171,512.10 and 38,463 is: 57,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,420.84 : 171,512.10 = 38,463 : x
  2. Step 2: Convert to fraction form
    114,420.84/171,512.10 = 38,463/x
  3. Step 3: Cross multiply
    114,420.84x = 171,512.10 × 38,463
  4. Step 4: Simplify right side
    114,420.84x = 6,596,869,902.30
  5. Step 5: Solve for x
    x = 6,596,869,902.30/114,420.84
  6. Step 6: Final answer
    x = 57,654.44

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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.