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Finding the Fourth Proportional to 38,084.97, 52,528.94 and 24,645.86

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Solution

The fourth proportional to 38,084.97, 52,528.94 and 24,645.86 is: 33,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,084.97 : 52,528.94 = 24,645.86 : x
  2. Step 2: Convert to fraction form
    38,084.97/52,528.94 = 24,645.86/x
  3. Step 3: Cross multiply
    38,084.97x = 52,528.94 × 24,645.86
  4. Step 4: Simplify right side
    38,084.97x = 1,294,620,515.31
  5. Step 5: Solve for x
    x = 1,294,620,515.31/38,084.97
  6. Step 6: Final answer
    x = 33,992.95

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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.