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Finding the Fourth Proportional to 30,495.52, 45,733.02 and 10,228.18

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Solution

The fourth proportional to 30,495.52, 45,733.02 and 10,228.18 is: 15,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,495.52 : 45,733.02 = 10,228.18 : x
  2. Step 2: Convert to fraction form
    30,495.52/45,733.02 = 10,228.18/x
  3. Step 3: Cross multiply
    30,495.52x = 45,733.02 × 10,228.18
  4. Step 4: Simplify right side
    30,495.52x = 467,765,560.50
  5. Step 5: Solve for x
    x = 467,765,560.50/30,495.52
  6. Step 6: Final answer
    x = 15,338.83

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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.