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Finding the Fourth Proportional to 57,135.60, 85,703.40 and 23,844.60

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Solution

The fourth proportional to 57,135.60, 85,703.40 and 23,844.60 is: 35,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,135.60 : 85,703.40 = 23,844.60 : x
  2. Step 2: Convert to fraction form
    57,135.60/85,703.40 = 23,844.60/x
  3. Step 3: Cross multiply
    57,135.60x = 85,703.40 × 23,844.60
  4. Step 4: Simplify right side
    57,135.60x = 2,043,563,291.64
  5. Step 5: Solve for x
    x = 2,043,563,291.64/57,135.60
  6. Step 6: Final answer
    x = 35,766.90

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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.