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Finding the Fourth Proportional to 85,342.68, 128,016.36 and 23,013

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Solution

The fourth proportional to 85,342.68, 128,016.36 and 23,013 is: 34,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,342.68 : 128,016.36 = 23,013 : x
  2. Step 2: Convert to fraction form
    85,342.68/128,016.36 = 23,013/x
  3. Step 3: Cross multiply
    85,342.68x = 128,016.36 × 23,013
  4. Step 4: Simplify right side
    85,342.68x = 2,946,040,492.68
  5. Step 5: Solve for x
    x = 2,946,040,492.68/85,342.68
  6. Step 6: Final answer
    x = 34,520.13

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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.