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Finding the Fourth Proportional to 76,435.85, 114,626.49 and 31,444.06

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Solution

The fourth proportional to 76,435.85, 114,626.49 and 31,444.06 is: 47,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,435.85 : 114,626.49 = 31,444.06 : x
  2. Step 2: Convert to fraction form
    76,435.85/114,626.49 = 31,444.06/x
  3. Step 3: Cross multiply
    76,435.85x = 114,626.49 × 31,444.06
  4. Step 4: Simplify right side
    76,435.85x = 3,604,322,229.15
  5. Step 5: Solve for x
    x = 3,604,322,229.15/76,435.85
  6. Step 6: Final answer
    x = 47,154.87

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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.