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Finding the Fourth Proportional to 32,754.12, 49,122.68 and 9,375.09

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Solution

The fourth proportional to 32,754.12, 49,122.68 and 9,375.09 is: 14,060.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754.12 : 49,122.68 = 9,375.09 : x
  2. Step 2: Convert to fraction form
    32,754.12/49,122.68 = 9,375.09/x
  3. Step 3: Cross multiply
    32,754.12x = 49,122.68 × 9,375.09
  4. Step 4: Simplify right side
    32,754.12x = 460,529,499.17
  5. Step 5: Solve for x
    x = 460,529,499.17/32,754.12
  6. Step 6: Final answer
    x = 14,060.20

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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.