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Finding the Fourth Proportional to 30,497.76, 45,754.04 and 9,721.24

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Solution

The fourth proportional to 30,497.76, 45,754.04 and 9,721.24 is: 14,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.76 : 45,754.04 = 9,721.24 : x
  2. Step 2: Convert to fraction form
    30,497.76/45,754.04 = 9,721.24/x
  3. Step 3: Cross multiply
    30,497.76x = 45,754.04 × 9,721.24
  4. Step 4: Simplify right side
    30,497.76x = 444,786,003.81
  5. Step 5: Solve for x
    x = 444,786,003.81/30,497.76
  6. Step 6: Final answer
    x = 14,584.22

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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.