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Finding the Fourth Proportional to 114,438.42, 171,615.42 and 39,539.34

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Solution

The fourth proportional to 114,438.42, 171,615.42 and 39,539.34 is: 59,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,438.42 : 171,615.42 = 39,539.34 : x
  2. Step 2: Convert to fraction form
    114,438.42/171,615.42 = 39,539.34/x
  3. Step 3: Cross multiply
    114,438.42x = 171,615.42 × 39,539.34
  4. Step 4: Simplify right side
    114,438.42x = 6,785,560,440.62
  5. Step 5: Solve for x
    x = 6,785,560,440.62/114,438.42
  6. Step 6: Final answer
    x = 59,294.43

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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.