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Finding the Fourth Proportional to 29,713.88, 44,542.91 and 9,978.60

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Solution

The fourth proportional to 29,713.88, 44,542.91 and 9,978.60 is: 14,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713.88 : 44,542.91 = 9,978.60 : x
  2. Step 2: Convert to fraction form
    29,713.88/44,542.91 = 9,978.60/x
  3. Step 3: Cross multiply
    29,713.88x = 44,542.91 × 9,978.60
  4. Step 4: Simplify right side
    29,713.88x = 444,475,745.42
  5. Step 5: Solve for x
    x = 444,475,745.42/29,713.88
  6. Step 6: Final answer
    x = 14,958.52

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1.5x scale

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.