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Finding the Fourth Proportional to 33,133.50, 45,724.23 and 18,230.46

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Solution

The fourth proportional to 33,133.50, 45,724.23 and 18,230.46 is: 25,158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,133.50 : 45,724.23 = 18,230.46 : x
  2. Step 2: Convert to fraction form
    33,133.50/45,724.23 = 18,230.46/x
  3. Step 3: Cross multiply
    33,133.50x = 45,724.23 × 18,230.46
  4. Step 4: Simplify right side
    33,133.50x = 833,573,746.05
  5. Step 5: Solve for x
    x = 833,573,746.05/33,133.50
  6. Step 6: Final answer
    x = 25,158.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.