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Finding the Fourth Proportional to 84,169.80, 116,154 and 46,444.32

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Solution

The fourth proportional to 84,169.80, 116,154 and 46,444.32 is: 64,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,169.80 : 116,154 = 46,444.32 : x
  2. Step 2: Convert to fraction form
    84,169.80/116,154 = 46,444.32/x
  3. Step 3: Cross multiply
    84,169.80x = 116,154 × 46,444.32
  4. Step 4: Simplify right side
    84,169.80x = 5,394,693,545.28
  5. Step 5: Solve for x
    x = 5,394,693,545.28/84,169.80
  6. Step 6: Final answer
    x = 64,092.98

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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.