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Finding the Fourth Proportional to 30,913.69, 46,350.03 and 11,189.68

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Solution

The fourth proportional to 30,913.69, 46,350.03 and 11,189.68 is: 16,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,913.69 : 46,350.03 = 11,189.68 : x
  2. Step 2: Convert to fraction form
    30,913.69/46,350.03 = 11,189.68/x
  3. Step 3: Cross multiply
    30,913.69x = 46,350.03 × 11,189.68
  4. Step 4: Simplify right side
    30,913.69x = 518,642,003.69
  5. Step 5: Solve for x
    x = 518,642,003.69/30,913.69
  6. Step 6: Final answer
    x = 16,777.10

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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.