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Finding the Fourth Proportional to 97,617.80, 146,425.98 and 27,495.56

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Solution

The fourth proportional to 97,617.80, 146,425.98 and 27,495.56 is: 41,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,617.80 : 146,425.98 = 27,495.56 : x
  2. Step 2: Convert to fraction form
    97,617.80/146,425.98 = 27,495.56/x
  3. Step 3: Cross multiply
    97,617.80x = 146,425.98 × 27,495.56
  4. Step 4: Simplify right side
    97,617.80x = 4,026,064,318.65
  5. Step 5: Solve for x
    x = 4,026,064,318.65/97,617.80
  6. Step 6: Final answer
    x = 41,243.14

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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.