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Finding the Fourth Proportional to 30,384.72, 45,576.81 and 10,658.66

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Solution

The fourth proportional to 30,384.72, 45,576.81 and 10,658.66 is: 15,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384.72 : 45,576.81 = 10,658.66 : x
  2. Step 2: Convert to fraction form
    30,384.72/45,576.81 = 10,658.66/x
  3. Step 3: Cross multiply
    30,384.72x = 45,576.81 × 10,658.66
  4. Step 4: Simplify right side
    30,384.72x = 485,787,493.79
  5. Step 5: Solve for x
    x = 485,787,493.79/30,384.72
  6. Step 6: Final answer
    x = 15,987.89

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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.