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Finding the Fourth Proportional to 31,847.44, 47,779.32 and 22,506

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Solution

The fourth proportional to 31,847.44, 47,779.32 and 22,506 is: 33,764.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,847.44 : 47,779.32 = 22,506 : x
  2. Step 2: Convert to fraction form
    31,847.44/47,779.32 = 22,506/x
  3. Step 3: Cross multiply
    31,847.44x = 47,779.32 × 22,506
  4. Step 4: Simplify right side
    31,847.44x = 1,075,321,375.92
  5. Step 5: Solve for x
    x = 1,075,321,375.92/31,847.44
  6. Step 6: Final answer
    x = 33,764.77

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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.