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Finding the Fourth Proportional to 32,718.65, 49,077.43 and 8,094.65

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Solution

The fourth proportional to 32,718.65, 49,077.43 and 8,094.65 is: 12,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,718.65 : 49,077.43 = 8,094.65 : x
  2. Step 2: Convert to fraction form
    32,718.65/49,077.43 = 8,094.65/x
  3. Step 3: Cross multiply
    32,718.65x = 49,077.43 × 8,094.65
  4. Step 4: Simplify right side
    32,718.65x = 397,264,353.13
  5. Step 5: Solve for x
    x = 397,264,353.13/32,718.65
  6. Step 6: Final answer
    x = 12,141.83

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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.