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Finding the Fourth Proportional to 84,193.71, 116,186.75 and 46,467.96

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Solution

The fourth proportional to 84,193.71, 116,186.75 and 46,467.96 is: 64,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,193.71 : 116,186.75 = 46,467.96 : x
  2. Step 2: Convert to fraction form
    84,193.71/116,186.75 = 46,467.96/x
  3. Step 3: Cross multiply
    84,193.71x = 116,186.75 × 46,467.96
  4. Step 4: Simplify right side
    84,193.71x = 5,398,961,251.53
  5. Step 5: Solve for x
    x = 5,398,961,251.53/84,193.71
  6. Step 6: Final answer
    x = 64,125.47

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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.