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Finding the Fourth Proportional to 46,614, 69,921.54 and 11,553.96

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Solution

The fourth proportional to 46,614, 69,921.54 and 11,553.96 is: 17,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,614 : 69,921.54 = 11,553.96 : x
  2. Step 2: Convert to fraction form
    46,614/69,921.54 = 11,553.96/x
  3. Step 3: Cross multiply
    46,614x = 69,921.54 × 11,553.96
  4. Step 4: Simplify right side
    46,614x = 807,870,676.30
  5. Step 5: Solve for x
    x = 807,870,676.30/46,614
  6. Step 6: Final answer
    x = 17,331.07

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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.