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Finding the Fourth Proportional to 72,724.50, 109,086.75 and 23,476.50

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Solution

The fourth proportional to 72,724.50, 109,086.75 and 23,476.50 is: 35,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,724.50 : 109,086.75 = 23,476.50 : x
  2. Step 2: Convert to fraction form
    72,724.50/109,086.75 = 23,476.50/x
  3. Step 3: Cross multiply
    72,724.50x = 109,086.75 × 23,476.50
  4. Step 4: Simplify right side
    72,724.50x = 2,560,975,086.38
  5. Step 5: Solve for x
    x = 2,560,975,086.38/72,724.50
  6. Step 6: Final answer
    x = 35,214.75

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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.