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Finding the Fourth Proportional to 73,755.75, 110,645.93 and 23,829.96

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Solution

The fourth proportional to 73,755.75, 110,645.93 and 23,829.96 is: 35,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,755.75 : 110,645.93 = 23,829.96 : x
  2. Step 2: Convert to fraction form
    73,755.75/110,645.93 = 23,829.96/x
  3. Step 3: Cross multiply
    73,755.75x = 110,645.93 × 23,829.96
  4. Step 4: Simplify right side
    73,755.75x = 2,636,688,086.06
  5. Step 5: Solve for x
    x = 2,636,688,086.06/73,755.75
  6. Step 6: Final answer
    x = 35,748.92

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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.