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Finding the Fourth Proportional to 85,420.70, 128,131.08 and 23,091.20

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Solution

The fourth proportional to 85,420.70, 128,131.08 and 23,091.20 is: 34,636.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,420.70 : 128,131.08 = 23,091.20 : x
  2. Step 2: Convert to fraction form
    85,420.70/128,131.08 = 23,091.20/x
  3. Step 3: Cross multiply
    85,420.70x = 128,131.08 × 23,091.20
  4. Step 4: Simplify right side
    85,420.70x = 2,958,700,394.50
  5. Step 5: Solve for x
    x = 2,958,700,394.50/85,420.70
  6. Step 6: Final answer
    x = 34,636.81

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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.