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Finding the Fourth Proportional to 77,211.64, 115,808.14 and 35,046.96

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Solution

The fourth proportional to 77,211.64, 115,808.14 and 35,046.96 is: 52,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,211.64 : 115,808.14 = 35,046.96 : x
  2. Step 2: Convert to fraction form
    77,211.64/115,808.14 = 35,046.96/x
  3. Step 3: Cross multiply
    77,211.64x = 115,808.14 × 35,046.96
  4. Step 4: Simplify right side
    77,211.64x = 4,058,723,250.25
  5. Step 5: Solve for x
    x = 4,058,723,250.25/77,211.64
  6. Step 6: Final answer
    x = 52,566.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.