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Finding the Fourth Proportional to 85,174.88, 127,745.84 and 32,572

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Solution

The fourth proportional to 85,174.88, 127,745.84 and 32,572 is: 48,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,174.88 : 127,745.84 = 32,572 : x
  2. Step 2: Convert to fraction form
    85,174.88/127,745.84 = 32,572/x
  3. Step 3: Cross multiply
    85,174.88x = 127,745.84 × 32,572
  4. Step 4: Simplify right side
    85,174.88x = 4,160,937,500.48
  5. Step 5: Solve for x
    x = 4,160,937,500.48/85,174.88
  6. Step 6: Final answer
    x = 48,851.70

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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.