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Finding the Fourth Proportional to 81,865.52, 112,969.80 and 46,057.04

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Solution

The fourth proportional to 81,865.52, 112,969.80 and 46,057.04 is: 63,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,865.52 : 112,969.80 = 46,057.04 : x
  2. Step 2: Convert to fraction form
    81,865.52/112,969.80 = 46,057.04/x
  3. Step 3: Cross multiply
    81,865.52x = 112,969.80 × 46,057.04
  4. Step 4: Simplify right side
    81,865.52x = 5,203,054,597.39
  5. Step 5: Solve for x
    x = 5,203,054,597.39/81,865.52
  6. Step 6: Final answer
    x = 63,556.12

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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.