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Finding the Fourth Proportional to 52,115.32, 78,173.07 and 12,672.46

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Solution

The fourth proportional to 52,115.32, 78,173.07 and 12,672.46 is: 19,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,115.32 : 78,173.07 = 12,672.46 : x
  2. Step 2: Convert to fraction form
    52,115.32/78,173.07 = 12,672.46/x
  3. Step 3: Cross multiply
    52,115.32x = 78,173.07 × 12,672.46
  4. Step 4: Simplify right side
    52,115.32x = 990,645,102.65
  5. Step 5: Solve for x
    x = 990,645,102.65/52,115.32
  6. Step 6: Final answer
    x = 19,008.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.