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Finding the Fourth Proportional to 85,531.31, 128,302.23 and 32,940.98

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Solution

The fourth proportional to 85,531.31, 128,302.23 and 32,940.98 is: 49,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,531.31 : 128,302.23 = 32,940.98 : x
  2. Step 2: Convert to fraction form
    85,531.31/128,302.23 = 32,940.98/x
  3. Step 3: Cross multiply
    85,531.31x = 128,302.23 × 32,940.98
  4. Step 4: Simplify right side
    85,531.31x = 4,226,401,192.39
  5. Step 5: Solve for x
    x = 4,226,401,192.39/85,531.31
  6. Step 6: Final answer
    x = 49,413.50

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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.