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Finding the Fourth Proportional to 33,333.76, 45,970.76 and 27,659.48

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Solution

The fourth proportional to 33,333.76, 45,970.76 and 27,659.48 is: 38,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,333.76 : 45,970.76 = 27,659.48 : x
  2. Step 2: Convert to fraction form
    33,333.76/45,970.76 = 27,659.48/x
  3. Step 3: Cross multiply
    33,333.76x = 45,970.76 × 27,659.48
  4. Step 4: Simplify right side
    33,333.76x = 1,271,527,316.80
  5. Step 5: Solve for x
    x = 1,271,527,316.80/33,333.76
  6. Step 6: Final answer
    x = 38,145.33

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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.