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Finding the Fourth Proportional to 30,997.53, 46,499.03 and 9,938.54

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Solution

The fourth proportional to 30,997.53, 46,499.03 and 9,938.54 is: 14,908.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.53 : 46,499.03 = 9,938.54 : x
  2. Step 2: Convert to fraction form
    30,997.53/46,499.03 = 9,938.54/x
  3. Step 3: Cross multiply
    30,997.53x = 46,499.03 × 9,938.54
  4. Step 4: Simplify right side
    30,997.53x = 462,132,187.43
  5. Step 5: Solve for x
    x = 462,132,187.43/30,997.53
  6. Step 6: Final answer
    x = 14,908.68

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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.