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Finding the Fourth Proportional to 30,765.08, 46,085.52 and 29,171

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Solution

The fourth proportional to 30,765.08, 46,085.52 and 29,171 is: 43,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765.08 : 46,085.52 = 29,171 : x
  2. Step 2: Convert to fraction form
    30,765.08/46,085.52 = 29,171/x
  3. Step 3: Cross multiply
    30,765.08x = 46,085.52 × 29,171
  4. Step 4: Simplify right side
    30,765.08x = 1,344,360,703.92
  5. Step 5: Solve for x
    x = 1,344,360,703.92/30,765.08
  6. Step 6: Final answer
    x = 43,697.62

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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.