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Finding the Fourth Proportional to 76,435.60, 114,626.11 and 31,443.82

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Solution

The fourth proportional to 76,435.60, 114,626.11 and 31,443.82 is: 47,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,435.60 : 114,626.11 = 31,443.82 : x
  2. Step 2: Convert to fraction form
    76,435.60/114,626.11 = 31,443.82/x
  3. Step 3: Cross multiply
    76,435.60x = 114,626.11 × 31,443.82
  4. Step 4: Simplify right side
    76,435.60x = 3,604,282,770.14
  5. Step 5: Solve for x
    x = 3,604,282,770.14/76,435.60
  6. Step 6: Final answer
    x = 47,154.50

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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.