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Finding the Fourth Proportional to 34,645.12, 47,749.44 and 27,594.88

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Solution

The fourth proportional to 34,645.12, 47,749.44 and 27,594.88 is: 38,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,645.12 : 47,749.44 = 27,594.88 : x
  2. Step 2: Convert to fraction form
    34,645.12/47,749.44 = 27,594.88/x
  3. Step 3: Cross multiply
    34,645.12x = 47,749.44 × 27,594.88
  4. Step 4: Simplify right side
    34,645.12x = 1,317,640,066.87
  5. Step 5: Solve for x
    x = 1,317,640,066.87/34,645.12
  6. Step 6: Final answer
    x = 38,032.49

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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.