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Finding the Fourth Proportional to 114,452.62, 171,652.69 and 31,353.10

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Solution

The fourth proportional to 114,452.62, 171,652.69 and 31,353.10 is: 47,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,452.62 : 171,652.69 = 31,353.10 : x
  2. Step 2: Convert to fraction form
    114,452.62/171,652.69 = 31,353.10/x
  3. Step 3: Cross multiply
    114,452.62x = 171,652.69 × 31,353.10
  4. Step 4: Simplify right side
    114,452.62x = 5,381,843,954.84
  5. Step 5: Solve for x
    x = 5,381,843,954.84/114,452.62
  6. Step 6: Final answer
    x = 47,022.46

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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.