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Finding the Fourth Proportional to 30,980.96, 46,473.20 and 8,792.58

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Solution

The fourth proportional to 30,980.96, 46,473.20 and 8,792.58 is: 13,189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.96 : 46,473.20 = 8,792.58 : x
  2. Step 2: Convert to fraction form
    30,980.96/46,473.20 = 8,792.58/x
  3. Step 3: Cross multiply
    30,980.96x = 46,473.20 × 8,792.58
  4. Step 4: Simplify right side
    30,980.96x = 408,619,328.86
  5. Step 5: Solve for x
    x = 408,619,328.86/30,980.96
  6. Step 6: Final answer
    x = 13,189.37

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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.