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Finding the Fourth Proportional to 38,512.85, 53,265.86 and 34,532.51

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Solution

The fourth proportional to 38,512.85, 53,265.86 and 34,532.51 is: 47,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,512.85 : 53,265.86 = 34,532.51 : x
  2. Step 2: Convert to fraction form
    38,512.85/53,265.86 = 34,532.51/x
  3. Step 3: Cross multiply
    38,512.85x = 53,265.86 × 34,532.51
  4. Step 4: Simplify right side
    38,512.85x = 1,839,403,404.12
  5. Step 5: Solve for x
    x = 1,839,403,404.12/38,512.85
  6. Step 6: Final answer
    x = 47,760.78

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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.