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Finding the Fourth Proportional to 30,162.34, 45,245.76 and 9,100.72

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Solution

The fourth proportional to 30,162.34, 45,245.76 and 9,100.72 is: 13,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,162.34 : 45,245.76 = 9,100.72 : x
  2. Step 2: Convert to fraction form
    30,162.34/45,245.76 = 9,100.72/x
  3. Step 3: Cross multiply
    30,162.34x = 45,245.76 × 9,100.72
  4. Step 4: Simplify right side
    30,162.34x = 411,768,992.95
  5. Step 5: Solve for x
    x = 411,768,992.95/30,162.34
  6. Step 6: Final answer
    x = 13,651.76

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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.