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Finding the Fourth Proportional to 33,975.72, 50,966.10 and 10,602

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Solution

The fourth proportional to 33,975.72, 50,966.10 and 10,602 is: 15,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,975.72 : 50,966.10 = 10,602 : x
  2. Step 2: Convert to fraction form
    33,975.72/50,966.10 = 10,602/x
  3. Step 3: Cross multiply
    33,975.72x = 50,966.10 × 10,602
  4. Step 4: Simplify right side
    33,975.72x = 540,342,592.20
  5. Step 5: Solve for x
    x = 540,342,592.20/33,975.72
  6. Step 6: Final answer
    x = 15,903.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.