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Finding the Fourth Proportional to 174,382.61, 261,576.32 and 49,723.61

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Solution

The fourth proportional to 174,382.61, 261,576.32 and 49,723.61 is: 74,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,382.61 : 261,576.32 = 49,723.61 : x
  2. Step 2: Convert to fraction form
    174,382.61/261,576.32 = 49,723.61/x
  3. Step 3: Cross multiply
    174,382.61x = 261,576.32 × 49,723.61
  4. Step 4: Simplify right side
    174,382.61x = 13,006,517,364.42
  5. Step 5: Solve for x
    x = 13,006,517,364.42/174,382.61
  6. Step 6: Final answer
    x = 74,586.09

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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.