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Finding the Fourth Proportional to 30,179.72, 41,646.08 and 16,751

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Solution

The fourth proportional to 30,179.72, 41,646.08 and 16,751 is: 23,115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,179.72 : 41,646.08 = 16,751 : x
  2. Step 2: Convert to fraction form
    30,179.72/41,646.08 = 16,751/x
  3. Step 3: Cross multiply
    30,179.72x = 41,646.08 × 16,751
  4. Step 4: Simplify right side
    30,179.72x = 697,613,486.08
  5. Step 5: Solve for x
    x = 697,613,486.08/30,179.72
  6. Step 6: Final answer
    x = 23,115.31

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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.