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Finding the Fourth Proportional to 95,124.49, 142,755.93 and 76,627.84

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Solution

The fourth proportional to 95,124.49, 142,755.93 and 76,627.84 is: 114,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,124.49 : 142,755.93 = 76,627.84 : x
  2. Step 2: Convert to fraction form
    95,124.49/142,755.93 = 76,627.84/x
  3. Step 3: Cross multiply
    95,124.49x = 142,755.93 × 76,627.84
  4. Step 4: Simplify right side
    95,124.49x = 10,939,078,563.09
  5. Step 5: Solve for x
    x = 10,939,078,563.09/95,124.49
  6. Step 6: Final answer
    x = 114,997.50

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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.