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Finding the Fourth Proportional to 114,672.04, 171,964.32 and 54,689.92

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Solution

The fourth proportional to 114,672.04, 171,964.32 and 54,689.92 is: 82,014.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,672.04 : 171,964.32 = 54,689.92 : x
  2. Step 2: Convert to fraction form
    114,672.04/171,964.32 = 54,689.92/x
  3. Step 3: Cross multiply
    114,672.04x = 171,964.32 × 54,689.92
  4. Step 4: Simplify right side
    114,672.04x = 9,404,714,903.65
  5. Step 5: Solve for x
    x = 9,404,714,903.65/114,672.04
  6. Step 6: Final answer
    x = 82,014.02

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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.