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Finding the Fourth Proportional to 76,644.80, 114,290.32 and 67,322.96

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Solution

The fourth proportional to 76,644.80, 114,290.32 and 67,322.96 is: 100,389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,644.80 : 114,290.32 = 67,322.96 : x
  2. Step 2: Convert to fraction form
    76,644.80/114,290.32 = 67,322.96/x
  3. Step 3: Cross multiply
    76,644.80x = 114,290.32 × 67,322.96
  4. Step 4: Simplify right side
    76,644.80x = 7,694,362,641.75
  5. Step 5: Solve for x
    x = 7,694,362,641.75/76,644.80
  6. Step 6: Final answer
    x = 100,389.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.