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Finding the Fourth Proportional to 57,189.01, 85,699.22 and 31,853.64

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Solution

The fourth proportional to 57,189.01, 85,699.22 and 31,853.64 is: 47,733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,189.01 : 85,699.22 = 31,853.64 : x
  2. Step 2: Convert to fraction form
    57,189.01/85,699.22 = 31,853.64/x
  3. Step 3: Cross multiply
    57,189.01x = 85,699.22 × 31,853.64
  4. Step 4: Simplify right side
    57,189.01x = 2,729,832,102.16
  5. Step 5: Solve for x
    x = 2,729,832,102.16/57,189.01
  6. Step 6: Final answer
    x = 47,733.51

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1.5x scale

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.