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Finding the Fourth Proportional to 84,166.38, 116,141.52 and 46,438.20

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Solution

The fourth proportional to 84,166.38, 116,141.52 and 46,438.20 is: 64,080.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,166.38 : 116,141.52 = 46,438.20 : x
  2. Step 2: Convert to fraction form
    84,166.38/116,141.52 = 46,438.20/x
  3. Step 3: Cross multiply
    84,166.38x = 116,141.52 × 46,438.20
  4. Step 4: Simplify right side
    84,166.38x = 5,393,403,134.06
  5. Step 5: Solve for x
    x = 5,393,403,134.06/84,166.38
  6. Step 6: Final answer
    x = 64,080.26

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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.