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Finding the Fourth Proportional to 84,159, 116,141.85 and 46,435.68

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Solution

The fourth proportional to 84,159, 116,141.85 and 46,435.68 is: 64,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,159 : 116,141.85 = 46,435.68 : x
  2. Step 2: Convert to fraction form
    84,159/116,141.85 = 46,435.68/x
  3. Step 3: Cross multiply
    84,159x = 116,141.85 × 46,435.68
  4. Step 4: Simplify right side
    84,159x = 5,393,125,781.21
  5. Step 5: Solve for x
    x = 5,393,125,781.21/84,159
  6. Step 6: Final answer
    x = 64,082.58

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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.