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Finding the Fourth Proportional to 84,092.66, 116,046.38 and 45,852.50

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Solution

The fourth proportional to 84,092.66, 116,046.38 and 45,852.50 is: 63,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,092.66 : 116,046.38 = 45,852.50 : x
  2. Step 2: Convert to fraction form
    84,092.66/116,046.38 = 45,852.50/x
  3. Step 3: Cross multiply
    84,092.66x = 116,046.38 × 45,852.50
  4. Step 4: Simplify right side
    84,092.66x = 5,321,016,409.69
  5. Step 5: Solve for x
    x = 5,321,016,409.69/84,092.66
  6. Step 6: Final answer
    x = 63,275.64

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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.