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Finding the Fourth Proportional to 83,052.78, 124,600.50 and 23,893.08

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Solution

The fourth proportional to 83,052.78, 124,600.50 and 23,893.08 is: 35,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,052.78 : 124,600.50 = 23,893.08 : x
  2. Step 2: Convert to fraction form
    83,052.78/124,600.50 = 23,893.08/x
  3. Step 3: Cross multiply
    83,052.78x = 124,600.50 × 23,893.08
  4. Step 4: Simplify right side
    83,052.78x = 2,977,089,714.54
  5. Step 5: Solve for x
    x = 2,977,089,714.54/83,052.78
  6. Step 6: Final answer
    x = 35,845.76

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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.