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Finding the Fourth Proportional to 70,654.66, 105,981.98 and 33,187.25

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Solution

The fourth proportional to 70,654.66, 105,981.98 and 33,187.25 is: 49,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,654.66 : 105,981.98 = 33,187.25 : x
  2. Step 2: Convert to fraction form
    70,654.66/105,981.98 = 33,187.25/x
  3. Step 3: Cross multiply
    70,654.66x = 105,981.98 × 33,187.25
  4. Step 4: Simplify right side
    70,654.66x = 3,517,250,564.77
  5. Step 5: Solve for x
    x = 3,517,250,564.77/70,654.66
  6. Step 6: Final answer
    x = 49,780.87

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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.