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Finding the Fourth Proportional to 97,536.50, 146,304.81 and 23,664.50

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Solution

The fourth proportional to 97,536.50, 146,304.81 and 23,664.50 is: 35,496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,536.50 : 146,304.81 = 23,664.50 : x
  2. Step 2: Convert to fraction form
    97,536.50/146,304.81 = 23,664.50/x
  3. Step 3: Cross multiply
    97,536.50x = 146,304.81 × 23,664.50
  4. Step 4: Simplify right side
    97,536.50x = 3,462,230,176.25
  5. Step 5: Solve for x
    x = 3,462,230,176.25/97,536.50
  6. Step 6: Final answer
    x = 35,496.76

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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.