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Finding the Fourth Proportional to 30,464.92, 45,704.76 and 9,688.42

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Solution

The fourth proportional to 30,464.92, 45,704.76 and 9,688.42 is: 14,534.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464.92 : 45,704.76 = 9,688.42 : x
  2. Step 2: Convert to fraction form
    30,464.92/45,704.76 = 9,688.42/x
  3. Step 3: Cross multiply
    30,464.92x = 45,704.76 × 9,688.42
  4. Step 4: Simplify right side
    30,464.92x = 442,806,910.88
  5. Step 5: Solve for x
    x = 442,806,910.88/30,464.92
  6. Step 6: Final answer
    x = 14,534.98

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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.