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Finding the Fourth Proportional to 78,823.84, 118,133.08 and 32,022

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Solution

The fourth proportional to 78,823.84, 118,133.08 and 32,022 is: 47,991.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,823.84 : 118,133.08 = 32,022 : x
  2. Step 2: Convert to fraction form
    78,823.84/118,133.08 = 32,022/x
  3. Step 3: Cross multiply
    78,823.84x = 118,133.08 × 32,022
  4. Step 4: Simplify right side
    78,823.84x = 3,782,857,487.76
  5. Step 5: Solve for x
    x = 3,782,857,487.76/78,823.84
  6. Step 6: Final answer
    x = 47,991.29

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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.