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Finding the Fourth Proportional to 84,149.12, 116,120.04 and 46,424

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Solution

The fourth proportional to 84,149.12, 116,120.04 and 46,424 is: 64,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,149.12 : 116,120.04 = 46,424 : x
  2. Step 2: Convert to fraction form
    84,149.12/116,120.04 = 46,424/x
  3. Step 3: Cross multiply
    84,149.12x = 116,120.04 × 46,424
  4. Step 4: Simplify right side
    84,149.12x = 5,390,756,736.96
  5. Step 5: Solve for x
    x = 5,390,756,736.96/84,149.12
  6. Step 6: Final answer
    x = 64,061.95

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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.