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Finding the Fourth Proportional to 84,169.12, 116,147.64 and 46,444

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Solution

The fourth proportional to 84,169.12, 116,147.64 and 46,444 is: 64,089.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,169.12 : 116,147.64 = 46,444 : x
  2. Step 2: Convert to fraction form
    84,169.12/116,147.64 = 46,444/x
  3. Step 3: Cross multiply
    84,169.12x = 116,147.64 × 46,444
  4. Step 4: Simplify right side
    84,169.12x = 5,394,360,992.16
  5. Step 5: Solve for x
    x = 5,394,360,992.16/84,169.12
  6. Step 6: Final answer
    x = 64,089.55

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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.