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Finding the Fourth Proportional to 78,893.80, 118,283.10 and 32,122.60

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Solution

The fourth proportional to 78,893.80, 118,283.10 and 32,122.60 is: 48,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,893.80 : 118,283.10 = 32,122.60 : x
  2. Step 2: Convert to fraction form
    78,893.80/118,283.10 = 32,122.60/x
  3. Step 3: Cross multiply
    78,893.80x = 118,283.10 × 32,122.60
  4. Step 4: Simplify right side
    78,893.80x = 3,799,560,708.06
  5. Step 5: Solve for x
    x = 3,799,560,708.06/78,893.80
  6. Step 6: Final answer
    x = 48,160.45

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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.