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Finding the Fourth Proportional to 57,200.49, 85,749.70 and 29,104.83

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Solution

The fourth proportional to 57,200.49, 85,749.70 and 29,104.83 is: 43,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,200.49 : 85,749.70 = 29,104.83 : x
  2. Step 2: Convert to fraction form
    57,200.49/85,749.70 = 29,104.83/x
  3. Step 3: Cross multiply
    57,200.49x = 85,749.70 × 29,104.83
  4. Step 4: Simplify right side
    57,200.49x = 2,495,730,441.05
  5. Step 5: Solve for x
    x = 2,495,730,441.05/57,200.49
  6. Step 6: Final answer
    x = 43,631.28

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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.