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Finding the Fourth Proportional to 64,534.84, 96,821.70 and 20,159.80

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Solution

The fourth proportional to 64,534.84, 96,821.70 and 20,159.80 is: 30,245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,534.84 : 96,821.70 = 20,159.80 : x
  2. Step 2: Convert to fraction form
    64,534.84/96,821.70 = 20,159.80/x
  3. Step 3: Cross multiply
    64,534.84x = 96,821.70 × 20,159.80
  4. Step 4: Simplify right side
    64,534.84x = 1,951,906,107.66
  5. Step 5: Solve for x
    x = 1,951,906,107.66/64,534.84
  6. Step 6: Final answer
    x = 30,245.77

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