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Finding the Fourth Proportional to 32,745.96, 49,120.62 and 9,375.88

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Solution

The fourth proportional to 32,745.96, 49,120.62 and 9,375.88 is: 14,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,745.96 : 49,120.62 = 9,375.88 : x
  2. Step 2: Convert to fraction form
    32,745.96/49,120.62 = 9,375.88/x
  3. Step 3: Cross multiply
    32,745.96x = 49,120.62 × 9,375.88
  4. Step 4: Simplify right side
    32,745.96x = 460,549,038.65
  5. Step 5: Solve for x
    x = 460,549,038.65/32,745.96
  6. Step 6: Final answer
    x = 14,064.30

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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.