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Finding the Fourth Proportional to 30,744.96, 46,089.92 and 12,020.64

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Solution

The fourth proportional to 30,744.96, 46,089.92 and 12,020.64 is: 18,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,744.96 : 46,089.92 = 12,020.64 : x
  2. Step 2: Convert to fraction form
    30,744.96/46,089.92 = 12,020.64/x
  3. Step 3: Cross multiply
    30,744.96x = 46,089.92 × 12,020.64
  4. Step 4: Simplify right side
    30,744.96x = 554,030,335.95
  5. Step 5: Solve for x
    x = 554,030,335.95/30,744.96
  6. Step 6: Final answer
    x = 18,020.20

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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.