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Finding the Fourth Proportional to 30,494.96, 45,720.84 and 11,759.12

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Solution

The fourth proportional to 30,494.96, 45,720.84 and 11,759.12 is: 17,630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.96 : 45,720.84 = 11,759.12 : x
  2. Step 2: Convert to fraction form
    30,494.96/45,720.84 = 11,759.12/x
  3. Step 3: Cross multiply
    30,494.96x = 45,720.84 × 11,759.12
  4. Step 4: Simplify right side
    30,494.96x = 537,636,844.06
  5. Step 5: Solve for x
    x = 537,636,844.06/30,494.96
  6. Step 6: Final answer
    x = 17,630.35

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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.