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Finding the Fourth Proportional to 114,871.16, 172,314.96 and 30,630.88

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Solution

The fourth proportional to 114,871.16, 172,314.96 and 30,630.88 is: 45,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,871.16 : 172,314.96 = 30,630.88 : x
  2. Step 2: Convert to fraction form
    114,871.16/172,314.96 = 30,630.88/x
  3. Step 3: Cross multiply
    114,871.16x = 172,314.96 × 30,630.88
  4. Step 4: Simplify right side
    114,871.16x = 5,278,157,847.24
  5. Step 5: Solve for x
    x = 5,278,157,847.24/114,871.16
  6. Step 6: Final answer
    x = 45,948.51

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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.