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Finding the Fourth Proportional to 30,154.21, 45,252.07 and 13,532.83

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Solution

The fourth proportional to 30,154.21, 45,252.07 and 13,532.83 is: 20,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,154.21 : 45,252.07 = 13,532.83 : x
  2. Step 2: Convert to fraction form
    30,154.21/45,252.07 = 13,532.83/x
  3. Step 3: Cross multiply
    30,154.21x = 45,252.07 × 13,532.83
  4. Step 4: Simplify right side
    30,154.21x = 612,388,423.50
  5. Step 5: Solve for x
    x = 612,388,423.50/30,154.21
  6. Step 6: Final answer
    x = 20,308.56

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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.