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Finding the Fourth Proportional to 103,548.78, 155,323.14 and 33,438.42

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Solution

The fourth proportional to 103,548.78, 155,323.14 and 33,438.42 is: 50,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,548.78 : 155,323.14 = 33,438.42 : x
  2. Step 2: Convert to fraction form
    103,548.78/155,323.14 = 33,438.42/x
  3. Step 3: Cross multiply
    103,548.78x = 155,323.14 × 33,438.42
  4. Step 4: Simplify right side
    103,548.78x = 5,193,760,391.04
  5. Step 5: Solve for x
    x = 5,193,760,391.04/103,548.78
  6. Step 6: Final answer
    x = 50,157.62

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1.5x scale

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.