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Finding the Fourth Proportional to 43,542.67, 65,461.64 and 34,770.06

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Solution

The fourth proportional to 43,542.67, 65,461.64 and 34,770.06 is: 52,272.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,542.67 : 65,461.64 = 34,770.06 : x
  2. Step 2: Convert to fraction form
    43,542.67/65,461.64 = 34,770.06/x
  3. Step 3: Cross multiply
    43,542.67x = 65,461.64 × 34,770.06
  4. Step 4: Simplify right side
    43,542.67x = 2,276,105,150.50
  5. Step 5: Solve for x
    x = 2,276,105,150.50/43,542.67
  6. Step 6: Final answer
    x = 52,272.98

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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.