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Finding the Fourth Proportional to 30,298.02, 45,449.46 and 10,576.14

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Solution

The fourth proportional to 30,298.02, 45,449.46 and 10,576.14 is: 15,865.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,298.02 : 45,449.46 = 10,576.14 : x
  2. Step 2: Convert to fraction form
    30,298.02/45,449.46 = 10,576.14/x
  3. Step 3: Cross multiply
    30,298.02x = 45,449.46 × 10,576.14
  4. Step 4: Simplify right side
    30,298.02x = 480,679,851.88
  5. Step 5: Solve for x
    x = 480,679,851.88/30,298.02
  6. Step 6: Final answer
    x = 15,865.06

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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.