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Finding the Fourth Proportional to 114,408.32, 171,611.94 and 29,019.20

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Solution

The fourth proportional to 114,408.32, 171,611.94 and 29,019.20 is: 43,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,408.32 : 171,611.94 = 29,019.20 : x
  2. Step 2: Convert to fraction form
    114,408.32/171,611.94 = 29,019.20/x
  3. Step 3: Cross multiply
    114,408.32x = 171,611.94 × 29,019.20
  4. Step 4: Simplify right side
    114,408.32x = 4,980,041,209.25
  5. Step 5: Solve for x
    x = 4,980,041,209.25/114,408.32
  6. Step 6: Final answer
    x = 43,528.66

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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.