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Finding the Fourth Proportional to 30,267.92, 45,409.56 and 9,491.60

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Solution

The fourth proportional to 30,267.92, 45,409.56 and 9,491.60 is: 14,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,267.92 : 45,409.56 = 9,491.60 : x
  2. Step 2: Convert to fraction form
    30,267.92/45,409.56 = 9,491.60/x
  3. Step 3: Cross multiply
    30,267.92x = 45,409.56 × 9,491.60
  4. Step 4: Simplify right side
    30,267.92x = 431,009,379.70
  5. Step 5: Solve for x
    x = 431,009,379.70/30,267.92
  6. Step 6: Final answer
    x = 14,239.81

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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.