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Finding the Fourth Proportional to 30,707.34, 46,063.17 and 20,842.62

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Solution

The fourth proportional to 30,707.34, 46,063.17 and 20,842.62 is: 31,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,707.34 : 46,063.17 = 20,842.62 : x
  2. Step 2: Convert to fraction form
    30,707.34/46,063.17 = 20,842.62/x
  3. Step 3: Cross multiply
    30,707.34x = 46,063.17 × 20,842.62
  4. Step 4: Simplify right side
    30,707.34x = 960,077,148.31
  5. Step 5: Solve for x
    x = 960,077,148.31/30,707.34
  6. Step 6: Final answer
    x = 31,265.40

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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.