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Finding the Fourth Proportional to 97,449.29, 146,173.94 and 23,577.29

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Solution

The fourth proportional to 97,449.29, 146,173.94 and 23,577.29 is: 35,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,449.29 : 146,173.94 = 23,577.29 : x
  2. Step 2: Convert to fraction form
    97,449.29/146,173.94 = 23,577.29/x
  3. Step 3: Cross multiply
    97,449.29x = 146,173.94 × 23,577.29
  4. Step 4: Simplify right side
    97,449.29x = 3,446,384,525.07
  5. Step 5: Solve for x
    x = 3,446,384,525.07/97,449.29
  6. Step 6: Final answer
    x = 35,365.93

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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.