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Finding the Fourth Proportional to 97,866, 146,806.32 and 27,750.96

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Solution

The fourth proportional to 97,866, 146,806.32 and 27,750.96 is: 41,628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,866 : 146,806.32 = 27,750.96 : x
  2. Step 2: Convert to fraction form
    97,866/146,806.32 = 27,750.96/x
  3. Step 3: Cross multiply
    97,866x = 146,806.32 × 27,750.96
  4. Step 4: Simplify right side
    97,866x = 4,074,016,314.07
  5. Step 5: Solve for x
    x = 4,074,016,314.07/97,866
  6. Step 6: Final answer
    x = 41,628.52

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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.