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Finding the Fourth Proportional to 75,893.52, 113,830.52 and 23,298.60

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Solution

The fourth proportional to 75,893.52, 113,830.52 and 23,298.60 is: 34,944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,893.52 : 113,830.52 = 23,298.60 : x
  2. Step 2: Convert to fraction form
    75,893.52/113,830.52 = 23,298.60/x
  3. Step 3: Cross multiply
    75,893.52x = 113,830.52 × 23,298.60
  4. Step 4: Simplify right side
    75,893.52x = 2,652,091,636.78
  5. Step 5: Solve for x
    x = 2,652,091,636.78/75,893.52
  6. Step 6: Final answer
    x = 34,944.90

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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.