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Finding the Fourth Proportional to 30,157.96, 45,257.69 and 13,536.58

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Solution

The fourth proportional to 30,157.96, 45,257.69 and 13,536.58 is: 20,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,157.96 : 45,257.69 = 13,536.58 : x
  2. Step 2: Convert to fraction form
    30,157.96/45,257.69 = 13,536.58/x
  3. Step 3: Cross multiply
    30,157.96x = 45,257.69 × 13,536.58
  4. Step 4: Simplify right side
    30,157.96x = 612,634,341.30
  5. Step 5: Solve for x
    x = 612,634,341.30/30,157.96
  6. Step 6: Final answer
    x = 20,314.18

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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.