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Finding the Fourth Proportional to 77,182.66, 115,707.43 and 29,830.97

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Solution

The fourth proportional to 77,182.66, 115,707.43 and 29,830.97 is: 44,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,182.66 : 115,707.43 = 29,830.97 : x
  2. Step 2: Convert to fraction form
    77,182.66/115,707.43 = 29,830.97/x
  3. Step 3: Cross multiply
    77,182.66x = 115,707.43 × 29,830.97
  4. Step 4: Simplify right side
    77,182.66x = 3,451,664,873.11
  5. Step 5: Solve for x
    x = 3,451,664,873.11/77,182.66
  6. Step 6: Final answer
    x = 44,720.73

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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.