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Finding the Fourth Proportional to 30,359.71, 45,544.83 and 9,299.25

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Solution

The fourth proportional to 30,359.71, 45,544.83 and 9,299.25 is: 13,950.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,359.71 : 45,544.83 = 9,299.25 : x
  2. Step 2: Convert to fraction form
    30,359.71/45,544.83 = 9,299.25/x
  3. Step 3: Cross multiply
    30,359.71x = 45,544.83 × 9,299.25
  4. Step 4: Simplify right side
    30,359.71x = 423,532,760.38
  5. Step 5: Solve for x
    x = 423,532,760.38/30,359.71
  6. Step 6: Final answer
    x = 13,950.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.