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Finding the Fourth Proportional to 83,902.36, 115,780.86 and 46,169.32

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Solution

The fourth proportional to 83,902.36, 115,780.86 and 46,169.32 is: 63,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,902.36 : 115,780.86 = 46,169.32 : x
  2. Step 2: Convert to fraction form
    83,902.36/115,780.86 = 46,169.32/x
  3. Step 3: Cross multiply
    83,902.36x = 115,780.86 × 46,169.32
  4. Step 4: Simplify right side
    83,902.36x = 5,345,523,575.22
  5. Step 5: Solve for x
    x = 5,345,523,575.22/83,902.36
  6. Step 6: Final answer
    x = 63,711.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.