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Finding the Fourth Proportional to 114,509.42, 171,775.91 and 39,629.43

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Solution

The fourth proportional to 114,509.42, 171,775.91 and 39,629.43 is: 59,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,509.42 : 171,775.91 = 39,629.43 : x
  2. Step 2: Convert to fraction form
    114,509.42/171,775.91 = 39,629.43/x
  3. Step 3: Cross multiply
    114,509.42x = 171,775.91 × 39,629.43
  4. Step 4: Simplify right side
    114,509.42x = 6,807,381,401.03
  5. Step 5: Solve for x
    x = 6,807,381,401.03/114,509.42
  6. Step 6: Final answer
    x = 59,448.22

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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.