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Finding the Fourth Proportional to 46,016, 69,027.84 and 13,184

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Solution

The fourth proportional to 46,016, 69,027.84 and 13,184 is: 19,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,016 : 69,027.84 = 13,184 : x
  2. Step 2: Convert to fraction form
    46,016/69,027.84 = 13,184/x
  3. Step 3: Cross multiply
    46,016x = 69,027.84 × 13,184
  4. Step 4: Simplify right side
    46,016x = 910,063,042.56
  5. Step 5: Solve for x
    x = 910,063,042.56/46,016
  6. Step 6: Final answer
    x = 19,777.10

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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.