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Finding the Fourth Proportional to 35,273.86, 52,912.40 and 8,978.82

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Solution

The fourth proportional to 35,273.86, 52,912.40 and 8,978.82 is: 13,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,273.86 : 52,912.40 = 8,978.82 : x
  2. Step 2: Convert to fraction form
    35,273.86/52,912.40 = 8,978.82/x
  3. Step 3: Cross multiply
    35,273.86x = 52,912.40 × 8,978.82
  4. Step 4: Simplify right side
    35,273.86x = 475,090,915.37
  5. Step 5: Solve for x
    x = 475,090,915.37/35,273.86
  6. Step 6: Final answer
    x = 13,468.64

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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.