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Finding the Fourth Proportional to 57,043.75, 85,390.47 and 35,884.72

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Solution

The fourth proportional to 57,043.75, 85,390.47 and 35,884.72 is: 53,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,043.75 : 85,390.47 = 35,884.72 : x
  2. Step 2: Convert to fraction form
    57,043.75/85,390.47 = 35,884.72/x
  3. Step 3: Cross multiply
    57,043.75x = 85,390.47 × 35,884.72
  4. Step 4: Simplify right side
    57,043.75x = 3,064,213,226.13
  5. Step 5: Solve for x
    x = 3,064,213,226.13/57,043.75
  6. Step 6: Final answer
    x = 53,716.89

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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.