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Finding the Fourth Proportional to 71,975.84, 107,958.72 and 25,232

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Solution

The fourth proportional to 71,975.84, 107,958.72 and 25,232 is: 37,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,975.84 : 107,958.72 = 25,232 : x
  2. Step 2: Convert to fraction form
    71,975.84/107,958.72 = 25,232/x
  3. Step 3: Cross multiply
    71,975.84x = 107,958.72 × 25,232
  4. Step 4: Simplify right side
    71,975.84x = 2,724,014,423.04
  5. Step 5: Solve for x
    x = 2,724,014,423.04/71,975.84
  6. Step 6: Final answer
    x = 37,846.23

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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.