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Finding the Fourth Proportional to 97,536.50, 146,304.82 and 23,664.50

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Solution

The fourth proportional to 97,536.50, 146,304.82 and 23,664.50 is: 35,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,536.50 : 146,304.82 = 23,664.50 : x
  2. Step 2: Convert to fraction form
    97,536.50/146,304.82 = 23,664.50/x
  3. Step 3: Cross multiply
    97,536.50x = 146,304.82 × 23,664.50
  4. Step 4: Simplify right side
    97,536.50x = 3,462,230,412.89
  5. Step 5: Solve for x
    x = 3,462,230,412.89/97,536.50
  6. Step 6: Final answer
    x = 35,496.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.