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Finding the Fourth Proportional to 85,434.36, 128,141.82 and 23,100

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Solution

The fourth proportional to 85,434.36, 128,141.82 and 23,100 is: 34,647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,434.36 : 128,141.82 = 23,100 : x
  2. Step 2: Convert to fraction form
    85,434.36/128,141.82 = 23,100/x
  3. Step 3: Cross multiply
    85,434.36x = 128,141.82 × 23,100
  4. Step 4: Simplify right side
    85,434.36x = 2,960,076,042
  5. Step 5: Solve for x
    x = 2,960,076,042/85,434.36
  6. Step 6: Final answer
    x = 34,647.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.