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Finding the Fourth Proportional to 29,697.72, 44,551.56 and 10,977.80

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Solution

The fourth proportional to 29,697.72, 44,551.56 and 10,977.80 is: 16,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.72 : 44,551.56 = 10,977.80 : x
  2. Step 2: Convert to fraction form
    29,697.72/44,551.56 = 10,977.80/x
  3. Step 3: Cross multiply
    29,697.72x = 44,551.56 × 10,977.80
  4. Step 4: Simplify right side
    29,697.72x = 489,078,115.37
  5. Step 5: Solve for x
    x = 489,078,115.37/29,697.72
  6. Step 6: Final answer
    x = 16,468.54

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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.