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Finding the Fourth Proportional to 30,513.96, 42,107.99 and 17,767.49

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Solution

The fourth proportional to 30,513.96, 42,107.99 and 17,767.49 is: 24,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,513.96 : 42,107.99 = 17,767.49 : x
  2. Step 2: Convert to fraction form
    30,513.96/42,107.99 = 17,767.49/x
  3. Step 3: Cross multiply
    30,513.96x = 42,107.99 × 17,767.49
  4. Step 4: Simplify right side
    30,513.96x = 748,152,991.87
  5. Step 5: Solve for x
    x = 748,152,991.87/30,513.96
  6. Step 6: Final answer
    x = 24,518.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.