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Finding the Fourth Proportional to 76,785.66, 115,130.97 and 29,983.50

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Solution

The fourth proportional to 76,785.66, 115,130.97 and 29,983.50 is: 44,956.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,785.66 : 115,130.97 = 29,983.50 : x
  2. Step 2: Convert to fraction form
    76,785.66/115,130.97 = 29,983.50/x
  3. Step 3: Cross multiply
    76,785.66x = 115,130.97 × 29,983.50
  4. Step 4: Simplify right side
    76,785.66x = 3,452,029,439.00
  5. Step 5: Solve for x
    x = 3,452,029,439.00/76,785.66
  6. Step 6: Final answer
    x = 44,956.69

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