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Finding the Fourth Proportional to 97,870.20, 146,810.88 and 27,744

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Solution

The fourth proportional to 97,870.20, 146,810.88 and 27,744 is: 41,617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,870.20 : 146,810.88 = 27,744 : x
  2. Step 2: Convert to fraction form
    97,870.20/146,810.88 = 27,744/x
  3. Step 3: Cross multiply
    97,870.20x = 146,810.88 × 27,744
  4. Step 4: Simplify right side
    97,870.20x = 4,073,121,054.72
  5. Step 5: Solve for x
    x = 4,073,121,054.72/97,870.20
  6. Step 6: Final answer
    x = 41,617.58

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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.