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Finding the Fourth Proportional to 57,190.01, 85,700.72 and 31,854.64

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Solution

The fourth proportional to 57,190.01, 85,700.72 and 31,854.64 is: 47,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,190.01 : 85,700.72 = 31,854.64 : x
  2. Step 2: Convert to fraction form
    57,190.01/85,700.72 = 31,854.64/x
  3. Step 3: Cross multiply
    57,190.01x = 85,700.72 × 31,854.64
  4. Step 4: Simplify right side
    57,190.01x = 2,729,965,583.34
  5. Step 5: Solve for x
    x = 2,729,965,583.34/57,190.01
  6. Step 6: Final answer
    x = 47,735.01

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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.