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Finding the Fourth Proportional to 33,157, 45,756.75 and 18,253

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Solution

The fourth proportional to 33,157, 45,756.75 and 18,253 is: 25,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,157 : 45,756.75 = 18,253 : x
  2. Step 2: Convert to fraction form
    33,157/45,756.75 = 18,253/x
  3. Step 3: Cross multiply
    33,157x = 45,756.75 × 18,253
  4. Step 4: Simplify right side
    33,157x = 835,197,957.75
  5. Step 5: Solve for x
    x = 835,197,957.75/33,157
  6. Step 6: Final answer
    x = 25,189.19

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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.