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Finding the Fourth Proportional to 57,765.30, 79,712.31 and 33,564.12

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Solution

The fourth proportional to 57,765.30, 79,712.31 and 33,564.12 is: 46,316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,765.30 : 79,712.31 = 33,564.12 : x
  2. Step 2: Convert to fraction form
    57,765.30/79,712.31 = 33,564.12/x
  3. Step 3: Cross multiply
    57,765.30x = 79,712.31 × 33,564.12
  4. Step 4: Simplify right side
    57,765.30x = 2,675,473,538.32
  5. Step 5: Solve for x
    x = 2,675,473,538.32/57,765.30
  6. Step 6: Final answer
    x = 46,316.28

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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.