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Finding the Fourth Proportional to 85,412.56, 128,122.08 and 23,083.08

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Solution

The fourth proportional to 85,412.56, 128,122.08 and 23,083.08 is: 34,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,412.56 : 128,122.08 = 23,083.08 : x
  2. Step 2: Convert to fraction form
    85,412.56/128,122.08 = 23,083.08/x
  3. Step 3: Cross multiply
    85,412.56x = 128,122.08 × 23,083.08
  4. Step 4: Simplify right side
    85,412.56x = 2,957,452,222.41
  5. Step 5: Solve for x
    x = 2,957,452,222.41/85,412.56
  6. Step 6: Final answer
    x = 34,625.50

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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.