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Finding the Fourth Proportional to 114,872.48, 172,314.16 and 31,766.48

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Solution

The fourth proportional to 114,872.48, 172,314.16 and 31,766.48 is: 47,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,872.48 : 172,314.16 = 31,766.48 : x
  2. Step 2: Convert to fraction form
    114,872.48/172,314.16 = 31,766.48/x
  3. Step 3: Cross multiply
    114,872.48x = 172,314.16 × 31,766.48
  4. Step 4: Simplify right side
    114,872.48x = 5,473,814,317.36
  5. Step 5: Solve for x
    x = 5,473,814,317.36/114,872.48
  6. Step 6: Final answer
    x = 47,651.22

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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.