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Finding the Fourth Proportional to 97,818.60, 146,740.14 and 27,697.80

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Solution

The fourth proportional to 97,818.60, 146,740.14 and 27,697.80 is: 41,550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,818.60 : 146,740.14 = 27,697.80 : x
  2. Step 2: Convert to fraction form
    97,818.60/146,740.14 = 27,697.80/x
  3. Step 3: Cross multiply
    97,818.60x = 146,740.14 × 27,697.80
  4. Step 4: Simplify right side
    97,818.60x = 4,064,379,049.69
  5. Step 5: Solve for x
    x = 4,064,379,049.69/97,818.60
  6. Step 6: Final answer
    x = 41,550.17

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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.