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Finding the Fourth Proportional to 85,201.88, 127,741.70 and 32,567

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Solution

The fourth proportional to 85,201.88, 127,741.70 and 32,567 is: 48,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,201.88 : 127,741.70 = 32,567 : x
  2. Step 2: Convert to fraction form
    85,201.88/127,741.70 = 32,567/x
  3. Step 3: Cross multiply
    85,201.88x = 127,741.70 × 32,567
  4. Step 4: Simplify right side
    85,201.88x = 4,160,163,943.90
  5. Step 5: Solve for x
    x = 4,160,163,943.90/85,201.88
  6. Step 6: Final answer
    x = 48,827.14

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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.