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Finding the Fourth Proportional to 57,729.84, 79,649.10 and 33,857.52

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Solution

The fourth proportional to 57,729.84, 79,649.10 and 33,857.52 is: 46,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,729.84 : 79,649.10 = 33,857.52 : x
  2. Step 2: Convert to fraction form
    57,729.84/79,649.10 = 33,857.52/x
  3. Step 3: Cross multiply
    57,729.84x = 79,649.10 × 33,857.52
  4. Step 4: Simplify right side
    57,729.84x = 2,696,720,996.23
  5. Step 5: Solve for x
    x = 2,696,720,996.23/57,729.84
  6. Step 6: Final answer
    x = 46,712.77

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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.