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Finding the Fourth Proportional to 84,406.26, 116,482.68 and 46,169.40

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Solution

The fourth proportional to 84,406.26, 116,482.68 and 46,169.40 is: 63,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,406.26 : 116,482.68 = 46,169.40 : x
  2. Step 2: Convert to fraction form
    84,406.26/116,482.68 = 46,169.40/x
  3. Step 3: Cross multiply
    84,406.26x = 116,482.68 × 46,169.40
  4. Step 4: Simplify right side
    84,406.26x = 5,377,935,445.99
  5. Step 5: Solve for x
    x = 5,377,935,445.99/84,406.26
  6. Step 6: Final answer
    x = 63,714.89

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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.