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Finding the Fourth Proportional to 63,829.84, 95,660.28 and 48,982

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Solution

The fourth proportional to 63,829.84, 95,660.28 and 48,982 is: 73,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,829.84 : 95,660.28 = 48,982 : x
  2. Step 2: Convert to fraction form
    63,829.84/95,660.28 = 48,982/x
  3. Step 3: Cross multiply
    63,829.84x = 95,660.28 × 48,982
  4. Step 4: Simplify right side
    63,829.84x = 4,685,631,834.96
  5. Step 5: Solve for x
    x = 4,685,631,834.96/63,829.84
  6. Step 6: Final answer
    x = 73,408.17

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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.