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Finding the Fourth Proportional to 84,842.64, 117,068.79 and 49,035.98

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Solution

The fourth proportional to 84,842.64, 117,068.79 and 49,035.98 is: 67,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,842.64 : 117,068.79 = 49,035.98 : x
  2. Step 2: Convert to fraction form
    84,842.64/117,068.79 = 49,035.98/x
  3. Step 3: Cross multiply
    84,842.64x = 117,068.79 × 49,035.98
  4. Step 4: Simplify right side
    84,842.64x = 5,740,583,321.62
  5. Step 5: Solve for x
    x = 5,740,583,321.62/84,842.64
  6. Step 6: Final answer
    x = 67,661.54

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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.