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Finding the Fourth Proportional to 70,657.54, 105,755.55 and 51,932.62

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Solution

The fourth proportional to 70,657.54, 105,755.55 and 51,932.62 is: 77,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657.54 : 105,755.55 = 51,932.62 : x
  2. Step 2: Convert to fraction form
    70,657.54/105,755.55 = 51,932.62/x
  3. Step 3: Cross multiply
    70,657.54x = 105,755.55 × 51,932.62
  4. Step 4: Simplify right side
    70,657.54x = 5,492,162,791.04
  5. Step 5: Solve for x
    x = 5,492,162,791.04/70,657.54
  6. Step 6: Final answer
    x = 77,729.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.