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Finding the Fourth Proportional to 97,870.50, 146,813.07 and 27,755.46

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Solution

The fourth proportional to 97,870.50, 146,813.07 and 27,755.46 is: 41,635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,870.50 : 146,813.07 = 27,755.46 : x
  2. Step 2: Convert to fraction form
    97,870.50/146,813.07 = 27,755.46/x
  3. Step 3: Cross multiply
    97,870.50x = 146,813.07 × 27,755.46
  4. Step 4: Simplify right side
    97,870.50x = 4,074,864,291.86
  5. Step 5: Solve for x
    x = 4,074,864,291.86/97,870.50
  6. Step 6: Final answer
    x = 41,635.27

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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.