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Finding the Fourth Proportional to 97,450.40, 146,175.60 and 27,341.60

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Solution

The fourth proportional to 97,450.40, 146,175.60 and 27,341.60 is: 41,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,450.40 : 146,175.60 = 27,341.60 : x
  2. Step 2: Convert to fraction form
    97,450.40/146,175.60 = 27,341.60/x
  3. Step 3: Cross multiply
    97,450.40x = 146,175.60 × 27,341.60
  4. Step 4: Simplify right side
    97,450.40x = 3,996,674,784.96
  5. Step 5: Solve for x
    x = 3,996,674,784.96/97,450.40
  6. Step 6: Final answer
    x = 41,012.40

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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.