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Finding the Fourth Proportional to 114,871.44, 172,287.72 and 31,746

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Solution

The fourth proportional to 114,871.44, 172,287.72 and 31,746 is: 47,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,871.44 : 172,287.72 = 31,746 : x
  2. Step 2: Convert to fraction form
    114,871.44/172,287.72 = 31,746/x
  3. Step 3: Cross multiply
    114,871.44x = 172,287.72 × 31,746
  4. Step 4: Simplify right side
    114,871.44x = 5,469,445,959.12
  5. Step 5: Solve for x
    x = 5,469,445,959.12/114,871.44
  6. Step 6: Final answer
    x = 47,613.63

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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.