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Finding the Fourth Proportional to 56,793.24, 85,189.86 and 35,973

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Solution

The fourth proportional to 56,793.24, 85,189.86 and 35,973 is: 53,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,793.24 : 85,189.86 = 35,973 : x
  2. Step 2: Convert to fraction form
    56,793.24/85,189.86 = 35,973/x
  3. Step 3: Cross multiply
    56,793.24x = 85,189.86 × 35,973
  4. Step 4: Simplify right side
    56,793.24x = 3,064,534,833.78
  5. Step 5: Solve for x
    x = 3,064,534,833.78/56,793.24
  6. Step 6: Final answer
    x = 53,959.50

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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.