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Finding the Fourth Proportional to 57,135.40, 85,703.10 and 40,222.60

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Solution

The fourth proportional to 57,135.40, 85,703.10 and 40,222.60 is: 60,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,135.40 : 85,703.10 = 40,222.60 : x
  2. Step 2: Convert to fraction form
    57,135.40/85,703.10 = 40,222.60/x
  3. Step 3: Cross multiply
    57,135.40x = 85,703.10 × 40,222.60
  4. Step 4: Simplify right side
    57,135.40x = 3,447,201,510.06
  5. Step 5: Solve for x
    x = 3,447,201,510.06/57,135.40
  6. Step 6: Final answer
    x = 60,333.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.